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+ 2) = 2(x - 1) \\;\\Rightarrow\\; 3x + 6 = 2x - 2 \\;\\Rightarrow\\; x = -8",[573,1174,1176,1200,1221,1245,1272,1294,1313,1334,1358,1376],{"className":1175,"ariaHidden":603},[602],[573,1177,1179,1182,1185,1188,1191,1194,1197],{"className":1178},[607],[573,1180],{"className":1181,"style":1039},[611],[573,1183,745],{"className":1184},[616],[573,1186,1104],{"className":1187},[830],[573,1189,594],{"className":1190},[616,617],[573,1192],{"className":1193,"style":866},[778],[573,1195,771],{"className":1196},[870],[573,1198],{"className":1199,"style":866},[778],[573,1201,1203,1206,1209,1212,1215,1218],{"className":1202},[607],[573,1204],{"className":1205,"style":1039},[611],[573,1207,764],{"className":1208},[616],[573,1210,1113],{"className":1211},[917],[573,1213],{"className":1214,"style":921},[778],[573,1216,759],{"className":1217},[925],[573,1219],{"className":1220,"style":921},[778],[573,1222,1224,1227,1230,1233,1236,1239,1242],{"className":1223},[607],[573,1225],{"className":1226,"style":1039},[611],[573,1228,764],{"className":1229},[616],[573,1231,1104],{"className":1232},[830],[573,1234,594],{"className":1235},[616,617],[573,1237],{"className":1238,"style":866},[778],[573,1240,753],{"className":1241},[870],[573,1243],{"className":1244,"style":866},[778],[573,1246,1248,1251,1254,1257,1260,1263,1266,1269],{"className":1247},[607],[573,1249],{"className":1250,"style":1039},[611],[573,1252,756],{"className":1253},[616],[573,1255,1113],{"className":1256},[917],[573,1258],{"className":1259,"style":921},[778],[573,1261],{"className":1262,"style":921},[778],[573,1264,1133],{"className":1265},[925],[573,1267],{"className":1268,"style":921},[778],[573,1270],{"className":1271,"style":921},[778],[573,1273,1275,1279,1282,1285,1288,1291],{"className":1274},[607],[573,1276],{"className":1277,"style":1278},[611],"height:0.7278em;vertical-align:-0.0833em;",[573,1280,745],{"className":1281},[616],[573,1283,594],{"className":1284},[616,617],[573,1286],{"className":1287,"style":866},[778],[573,1289,771],{"className":1290},[870],[573,1292],{"className":1293,"style":866},[778],[573,1295,1297,1301,1304,1307,1310],{"className":1296},[607],[573,1298],{"className":1299,"style":1300},[611],"height:0.6444em;",[573,1302,1144],{"className":1303},[616],[573,1305],{"className":1306,"style":921},[778],[573,1308,759],{"className":1309},[925],[573,1311],{"className":1312,"style":921},[778],[573,1314,1316,1319,1322,1325,1328,1331],{"className":1315},[607],[573,1317],{"className":1318,"style":1278},[611],[573,1320,764],{"className":1321},[616],[573,1323,594],{"className":1324},[616,617],[573,1326],{"className":1327,"style":866},[778],[573,1329,753],{"className":1330},[870],[573,1332],{"className":1333,"style":866},[778],[573,1335,1337,1340,1343,1346,1349,1352,1355],{"className":1336},[607],[573,1338],{"className":1339,"style":1300},[611],[573,1341,764],{"className":1342},[616],[573,1344],{"className":1345,"style":921},[778],[573,1347],{"className":1348,"style":921},[778],[573,1350,1133],{"className":1351},[925],[573,1353],{"className":1354,"style":921},[778],[573,1356],{"className":1357,"style":921},[778],[573,1359,1361,1364,1367,1370,1373],{"className":1360},[607],[573,1362],{"className":1363,"style":612},[611],[573,1365,594],{"className":1366},[616,617],[573,1368],{"className":1369,"style":921},[778],[573,1371,759],{"className":1372},[925],[573,1374],{"className":1375,"style":921},[778],[573,1377,1379,1382,1385],{"className":1378},[607],[573,1380],{"className":1381,"style":1278},[611],[573,1383,753],{"className":1384},[616],[573,1386,1169],{"className":1387},[616],[564,1389,1390,1424,1425,1453,1454,1667,1668,1869,1870,1937],{},[573,1391,1393,1409],{"className":1392},[576],[573,1394,1396],{"className":1395},[580],[582,1397,1398],{"xmlns":584},[586,1399,1400,1406],{},[589,1401,1402,1404],{},[751,1403,753],{},[743,1405,1169],{},[596,1407,1408],{"encoding":598},"-8",[573,1410,1412],{"className":1411,"ariaHidden":603},[602],[573,1413,1415,1418,1421],{"className":1414},[607],[573,1416],{"className":1417,"style":1278},[611],[573,1419,753],{"className":1420},[616],[573,1422,1169],{"className":1423},[616]," liegt in ",[573,1426,1428,1441],{"className":1427},[576],[573,1429,1431],{"className":1430},[580],[582,1432,1433],{"xmlns":584},[586,1434,1435,1439],{},[589,1436,1437],{},[592,1438,638],{"mathvariant":637},[596,1440,641],{"encoding":598},[573,1442,1444],{"className":1443,"ariaHidden":603},[602],[573,1445,1447,1450],{"className":1446},[607],[573,1448],{"className":1449,"style":651},[611],[573,1451,638],{"className":1452},[616,655],". Probe: ",[573,1455,1457,1490],{"className":1456},[576],[573,1458,1460],{"className":1459},[580],[582,1461,1462],{"xmlns":584},[586,1463,1464,1487],{},[589,1465,1466,1477,1479,1481],{},[740,1467,1468,1470],{},[743,1469,745],{},[589,1471,1472,1474],{},[751,1473,753],{},[743,1475,1476],{},"9",[751,1478,759],{},[751,1480,753],{},[740,1482,1483,1485],{},[743,1484,756],{},[743,1486,745],{},[596,1488,1489],{"encoding":598},"\\frac{3}{-9} = -\\frac{1}{3}",[573,1491,1493,1588],{"className":1492,"ariaHidden":603},[602],[573,1494,1496,1500,1579,1582,1585],{"className":1495},[607],[573,1497],{"className":1498,"style":1499},[611],"height:1.2484em;vertical-align:-0.4033em;",[573,1501,1503,1506,1576],{"className":1502},[616],[573,1504],{"className":1505},[830,831],[573,1507,1509],{"className":1508},[740],[573,1510,1512,1567],{"className":1511},[838,839],[573,1513,1515,1564],{"className":1514},[843],[573,1516,1519,1541,1549],{"className":1517,"style":1518},[847],"height:0.8451em;",[573,1520,1522,1525],{"style":1521},"top:-2.655em;",[573,1523],{"className":1524,"style":856},[855],[573,1526,1532],{"className":1527},[1528,1529,1530,1531],"sizing","reset-size6","size3","mtight",[573,1533,1535,1538],{"className":1534},[616,1531],[573,1536,753],{"className":1537},[616,1531],[573,1539,1476],{"className":1540},[616,1531],[573,1542,1543,1546],{"style":879},[573,1544],{"className":1545,"style":856},[855],[573,1547],{"className":1548,"style":887},[886],[573,1550,1552,1555],{"style":1551},"top:-3.394em;",[573,1553],{"className":1554,"style":856},[855],[573,1556,1558],{"className":1557},[1528,1529,1530,1531],[573,1559,1561],{"className":1560},[616,1531],[573,1562,745],{"className":1563},[616,1531],[573,1565,904],{"className":1566},[903],[573,1568,1570],{"className":1569},[843],[573,1571,1574],{"className":1572,"style":1573},[847],"height:0.4033em;",[573,1575],{},[573,1577],{"className":1578},[917,831],[573,1580],{"className":1581,"style":921},[778],[573,1583,759],{"className":1584},[925],[573,1586],{"className":1587,"style":921},[778],[573,1589,1591,1595,1598],{"className":1590},[607],[573,1592],{"className":1593,"style":1594},[611],"height:1.1901em;vertical-align:-0.345em;",[573,1596,753],{"className":1597},[616],[573,1599,1601,1604,1664],{"className":1600},[616],[573,1602],{"className":1603},[830,831],[573,1605,1607],{"className":1606},[740],[573,1608,1610,1655],{"className":1609},[838,839],[573,1611,1613,1652],{"className":1612},[843],[573,1614,1616,1630,1638],{"className":1615,"style":1518},[847],[573,1617,1618,1621],{"style":1521},[573,1619],{"className":1620,"style":856},[855],[573,1622,1624],{"className":1623},[1528,1529,1530,1531],[573,1625,1627],{"className":1626},[616,1531],[573,1628,745],{"className":1629},[616,1531],[573,1631,1632,1635],{"style":879},[573,1633],{"className":1634,"style":856},[855],[573,1636],{"className":1637,"style":887},[886],[573,1639,1640,1643],{"style":1551},[573,1641],{"className":1642,"style":856},[855],[573,1644,1646],{"className":1645},[1528,1529,1530,1531],[573,1647,1649],{"className":1648},[616,1531],[573,1650,756],{"className":1651},[616,1531],[573,1653,904],{"className":1654},[903],[573,1656,1658],{"className":1657},[843],[573,1659,1662],{"className":1660,"style":1661},[847],"height:0.345em;",[573,1663],{},[573,1665],{"className":1666},[917,831]," und ",[573,1669,1671,1703],{"className":1670},[576],[573,1672,1674],{"className":1673},[580],[582,1675,1676],{"xmlns":584},[586,1677,1678,1700],{},[589,1679,1680,1690,1692,1694],{},[740,1681,1682,1684],{},[743,1683,764],{},[589,1685,1686,1688],{},[751,1687,753],{},[743,1689,1144],{},[751,1691,759],{},[751,1693,753],{},[740,1695,1696,1698],{},[743,1697,756],{},[743,1699,745],{},[596,1701,1702],{"encoding":598},"\\frac{2}{-6} = -\\frac{1}{3}",[573,1704,1706,1792],{"className":1705,"ariaHidden":603},[602],[573,1707,1709,1712,1783,1786,1789],{"className":1708},[607],[573,1710],{"className":1711,"style":1499},[611],[573,1713,1715,1718,1780],{"className":1714},[616],[573,1716],{"className":1717},[830,831],[573,1719,1721],{"className":1720},[740],[573,1722,1724,1772],{"className":1723},[838,839],[573,1725,1727,1769],{"className":1726},[843],[573,1728,1730,1747,1755],{"className":1729,"style":1518},[847],[573,1731,1732,1735],{"style":1521},[573,1733],{"className":1734,"style":856},[855],[573,1736,1738],{"className":1737},[1528,1529,1530,1531],[573,1739,1741,1744],{"className":1740},[616,1531],[573,1742,753],{"className":1743},[616,1531],[573,1745,1144],{"className":1746},[616,1531],[573,1748,1749,1752],{"style":879},[573,1750],{"className":1751,"style":856},[855],[573,1753],{"className":1754,"style":887},[886],[573,1756,1757,1760],{"style":1551},[573,1758],{"className":1759,"style":856},[855],[573,1761,1763],{"className":1762},[1528,1529,1530,1531],[573,1764,1766],{"className":1765},[616,1531],[573,1767,764],{"className":1768},[616,1531],[573,1770,904],{"className":1771},[903],[573,1773,1775],{"className":1774},[843],[573,1776,1778],{"className":1777,"style":1573},[847],[573,1779],{},[573,1781],{"className":1782},[917,831],[573,1784],{"className":1785,"style":921},[778],[573,1787,759],{"className":1788},[925],[573,1790],{"className":1791,"style":921},[778],[573,1793,1795,1798,1801],{"className":1794},[607],[573,1796],{"className":1797,"style":1594},[611],[573,1799,753],{"className":1800},[616],[573,1802,1804,1807,1866],{"className":1803},[616],[573,1805],{"className":1806},[830,831],[573,1808,1810],{"className":1809},[740],[573,1811,1813,1858],{"className":1812},[838,839],[573,1814,1816,1855],{"className":1815},[843],[573,1817,1819,1833,1841],{"className":1818,"style":1518},[847],[573,1820,1821,1824],{"style":1521},[573,1822],{"className":1823,"style":856},[855],[573,1825,1827],{"className":1826},[1528,1529,1530,1531],[573,1828,1830],{"className":1829},[616,1531],[573,1831,745],{"className":1832},[616,1531],[573,1834,1835,1838],{"style":879},[573,1836],{"className":1837,"style":856},[855],[573,1839],{"className":1840,"style":887},[886],[573,1842,1843,1846],{"style":1551},[573,1844],{"className":1845,"style":856},[855],[573,1847,1849],{"className":1848},[1528,1529,1530,1531],[573,1850,1852],{"className":1851},[616,1531],[573,1853,756],{"className":1854},[616,1531],[573,1856,904],{"className":1857},[903],[573,1859,1861],{"className":1860},[843],[573,1862,1864],{"className":1863,"style":1661},[847],[573,1865],{},[573,1867],{"className":1868},[917,831],". Also ",[573,1871,1873,1898],{"className":1872},[576],[573,1874,1876],{"className":1875},[580],[582,1877,1878],{"xmlns":584},[586,1879,1880,1895],{},[589,1881,1882,1885,1887,1889,1891,1893],{},[592,1883,1884],{"mathvariant":637},"L",[751,1886,759],{},[751,1888,794],{"stretchy":793},[751,1890,753],{},[743,1892,1169],{},[751,1894,810],{"stretchy":793},[596,1896,1897],{"encoding":598},"\\mathbb{L} = \\{-8\\}",[573,1899,1901,1919],{"className":1900,"ariaHidden":603},[602],[573,1902,1904,1907,1910,1913,1916],{"className":1903},[607],[573,1905],{"className":1906,"style":651},[611],[573,1908,1884],{"className":1909},[616,655],[573,1911],{"className":1912,"style":921},[778],[573,1914,759],{"className":1915},[925],[573,1917],{"className":1918,"style":921},[778],[573,1920,1922,1925,1928,1931,1934],{"className":1921},[607],[573,1923],{"className":1924,"style":1039},[611],[573,1926,794],{"className":1927},[830],[573,1929,753],{"className":1930},[616],[573,1932,1169],{"className":1933},[616],[573,1935,810],{"className":1936},[917],".",[564,1939,1940],{},"Eine scheinbare Lösung:",[573,1942,1944],{"className":1943},[725],[573,1945,1947,2007],{"className":1946},[576],[573,1948,1950],{"className":1949},[580],[582,1951,1952],{"xmlns":584,"display":734},[586,1953,1954,2004],{},[589,1955,1956,1968,1970,1972,1974,1986,1988,1990,1992,1994,1996,1998,2000,2002],{},[740,1957,1958,1960],{},[592,1959,594],{},[589,1961,1962,1964,1966],{},[592,1963,594],{},[751,1965,753],{},[743,1967,764],{},[751,1969,771],{},[743,1971,756],{},[751,1973,759],{},[740,1975,1976,1978],{},[743,1977,764],{},[589,1979,1980,1982,1984],{},[592,1981,594],{},[751,1983,753],{},[743,1985,764],{},[751,1987,776],{"separator":603},[778,1989],{"width":780},[592,1991,638],{"mathvariant":637},[751,1993,759],{},[592,1995,787],{"mathvariant":637},[751,1997,790],{},[751,1999,794],{"stretchy":793},[743,2001,764],{},[751,2003,810],{"stretchy":793},[596,2005,2006],{"encoding":598},"\\frac{x}{x - 2} + 1 = \\frac{2}{x - 2}, \\qquad \\mathbb{D} = \\mathbb{R} \\setminus \\{2\\}",[573,2008,2010,2101,2119,2220,2238],{"className":2009,"ariaHidden":603},[602],[573,2011,2013,2017,2092,2095,2098],{"className":2012},[607],[573,2014],{"className":2015,"style":2016},[611],"height:1.8769em;vertical-align:-0.7693em;",[573,2018,2020,2023,2089],{"className":2019},[616],[573,2021],{"className":2022},[830,831],[573,2024,2026],{"className":2025},[740],[573,2027,2029,2081],{"className":2028},[838,839],[573,2030,2032,2078],{"className":2031},[843],[573,2033,2036,2059,2067],{"className":2034,"style":2035},[847],"height:1.1076em;",[573,2037,2038,2041],{"style":851},[573,2039],{"className":2040,"style":856},[855],[573,2042,2044,2047,2050,2053,2056],{"className":2043},[616],[573,2045,594],{"className":2046},[616,617],[573,2048],{"className":2049,"style":866},[778],[573,2051,753],{"className":2052},[870],[573,2054],{"className":2055,"style":866},[778],[573,2057,764],{"className":2058},[616],[573,2060,2061,2064],{"style":879},[573,2062],{"className":2063,"style":856},[855],[573,2065],{"className":2066,"style":887},[886],[573,2068,2069,2072],{"style":890},[573,2070],{"className":2071,"style":856},[855],[573,2073,2075],{"className":2074},[616],[573,2076,594],{"className":2077},[616,617],[573,2079,904],{"className":2080},[903],[573,2082,2084],{"className":2083},[843],[573,2085,2087],{"className":2086,"style":911},[847],[573,2088],{},[573,2090],{"className":2091},[917,831],[573,2093],{"className":2094,"style":866},[778],[573,2096,771],{"className":2097},[870],[573,2099],{"className":2100,"style":866},[778],[573,2102,2104,2107,2110,2113,2116],{"className":2103},[607],[573,2105],{"className":2106,"style":1300},[611],[573,2108,756],{"className":2109},[616],[573,2111],{"className":2112,"style":921},[778],[573,2114,759],{"className":2115},[925],[573,2117],{"className":2118,"style":921},[778],[573,2120,2122,2125,2199,2202,2205,2208,2211,2214,2217],{"className":2121},[607],[573,2123],{"className":2124,"style":823},[611],[573,2126,2128,2131,2196],{"className":2127},[616],[573,2129],{"className":2130},[830,831],[573,2132,2134],{"className":2133},[740],[573,2135,2137,2188],{"className":2136},[838,839],[573,2138,2140,2185],{"className":2139},[843],[573,2141,2143,2166,2174],{"className":2142,"style":848},[847],[573,2144,2145,2148],{"style":851},[573,2146],{"className":2147,"style":856},[855],[573,2149,2151,2154,2157,2160,2163],{"className":2150},[616],[573,2152,594],{"className":2153},[616,617],[573,2155],{"className":2156,"style":866},[778],[573,2158,753],{"className":2159},[870],[573,2161],{"className":2162,"style":866},[778],[573,2164,764],{"className":2165},[616],[573,2167,2168,2171],{"style":879},[573,2169],{"className":2170,"style":856},[855],[573,2172],{"className":2173,"style":887},[886],[573,2175,2176,2179],{"style":890},[573,2177],{"className":2178,"style":856},[855],[573,2180,2182],{"className":2181},[616],[573,2183,764],{"className":2184},[616],[573,2186,904],{"className":2187},[903],[573,2189,2191],{"className":2190},[843],[573,2192,2194],{"className":2193,"style":911},[847],[573,2195],{},[573,2197],{"className":2198},[917,831],[573,2200,776],{"className":2201},[1012],[573,2203],{"className":2204,"style":1016},[778],[573,2206],{"className":2207,"style":1020},[778],[573,2209,638],{"className":2210},[616,655],[573,2212],{"className":2213,"style":921},[778],[573,2215,759],{"className":2216},[925],[573,2218],{"className":2219,"style":921},[778],[573,2221,2223,2226,2229,2232,2235],{"className":2222},[607],[573,2224],{"className":2225,"style":1039},[611],[573,2227,787],{"className":2228},[616,655],[573,2230],{"className":2231,"style":866},[778],[573,2233,790],{"className":2234},[870],[573,2236],{"className":2237,"style":866},[778],[573,2239,2241,2244,2247,2250],{"className":2240},[607],[573,2242],{"className":2243,"style":1039},[611],[573,2245,794],{"className":2246},[830],[573,2248,764],{"className":2249},[616],[573,2251,810],{"className":2252},[917],[564,2254,2255,2256,2317,2318,2424,2425,1667,2482,2533,2534,2562,2563,2591,2592,2595,2596,1937],{},"Mal ",[573,2257,2259,2281],{"className":2258},[576],[573,2260,2262],{"className":2261},[580],[582,2263,2264],{"xmlns":584},[586,2265,2266,2278],{},[589,2267,2268,2270,2272,2274,2276],{},[751,2269,1104],{"stretchy":793},[592,2271,594],{},[751,2273,753],{},[743,2275,764],{},[751,2277,1113],{"stretchy":793},[596,2279,2280],{"encoding":598},"(x - 2)",[573,2282,2284,2305],{"className":2283,"ariaHidden":603},[602],[573,2285,2287,2290,2293,2296,2299,2302],{"className":2286},[607],[573,2288],{"className":2289,"style":1039},[611],[573,2291,1104],{"className":2292},[830],[573,2294,594],{"className":2295},[616,617],[573,2297],{"className":2298,"style":866},[778],[573,2300,753],{"className":2301},[870],[573,2303],{"className":2304,"style":866},[778],[573,2306,2308,2311,2314],{"className":2307},[607],[573,2309],{"className":2310,"style":1039},[611],[573,2312,764],{"className":2313},[616],[573,2315,1113],{"className":2316},[917],": ",[573,2319,2321,2351],{"className":2320},[576],[573,2322,2324],{"className":2323},[580],[582,2325,2326],{"xmlns":584},[586,2327,2328,2348],{},[589,2329,2330,2332,2334,2336,2338,2340,2342,2344,2346],{},[592,2331,594],{},[751,2333,771],{},[751,2335,1104],{"stretchy":793},[592,2337,594],{},[751,2339,753],{},[743,2341,764],{},[751,2343,1113],{"stretchy":793},[751,2345,759],{},[743,2347,764],{},[596,2349,2350],{"encoding":598},"x + (x - 2) = 2",[573,2352,2354,2373,2394,2415],{"className":2353,"ariaHidden":603},[602],[573,2355,2357,2361,2364,2367,2370],{"className":2356},[607],[573,2358],{"className":2359,"style":2360},[611],"height:0.6667em;vertical-align:-0.0833em;",[573,2362,594],{"className":2363},[616,617],[573,2365],{"className":2366,"style":866},[778],[573,2368,771],{"className":2369},[870],[573,2371],{"className":2372,"style":866},[778],[573,2374,2376,2379,2382,2385,2388,2391],{"className":2375},[607],[573,2377],{"className":2378,"style":1039},[611],[573,2380,1104],{"className":2381},[830],[573,2383,594],{"className":2384},[616,617],[573,2386],{"className":2387,"style":866},[778],[573,2389,753],{"className":2390},[870],[573,2392],{"className":2393,"style":866},[778],[573,2395,2397,2400,2403,2406,2409,2412],{"className":2396},[607],[573,2398],{"className":2399,"style":1039},[611],[573,2401,764],{"className":2402},[616],[573,2404,1113],{"className":2405},[917],[573,2407],{"className":2408,"style":921},[778],[573,2410,759],{"className":2411},[925],[573,2413],{"className":2414,"style":921},[778],[573,2416,2418,2421],{"className":2417},[607],[573,2419],{"className":2420,"style":1300},[611],[573,2422,764],{"className":2423},[616],", also ",[573,2426,2428,2449],{"className":2427},[576],[573,2429,2431],{"className":2430},[580],[582,2432,2433],{"xmlns":584},[586,2434,2435,2446],{},[589,2436,2437,2439,2441,2443],{},[743,2438,764],{},[592,2440,594],{},[751,2442,759],{},[743,2444,2445],{},"4",[596,2447,2448],{"encoding":598},"2x = 4",[573,2450,2452,2473],{"className":2451,"ariaHidden":603},[602],[573,2453,2455,2458,2461,2464,2467,2470],{"className":2454},[607],[573,2456],{"className":2457,"style":1300},[611],[573,2459,764],{"className":2460},[616],[573,2462,594],{"className":2463},[616,617],[573,2465],{"className":2466,"style":921},[778],[573,2468,759],{"className":2469},[925],[573,2471],{"className":2472,"style":921},[778],[573,2474,2476,2479],{"className":2475},[607],[573,2477],{"className":2478,"style":1300},[611],[573,2480,2445],{"className":2481},[616],[573,2483,2485,2503],{"className":2484},[576],[573,2486,2488],{"className":2487},[580],[582,2489,2490],{"xmlns":584},[586,2491,2492,2500],{},[589,2493,2494,2496,2498],{},[592,2495,594],{},[751,2497,759],{},[743,2499,764],{},[596,2501,2502],{"encoding":598},"x = 2",[573,2504,2506,2524],{"className":2505,"ariaHidden":603},[602],[573,2507,2509,2512,2515,2518,2521],{"className":2508},[607],[573,2510],{"className":2511,"style":612},[611],[573,2513,594],{"className":2514},[616,617],[573,2516],{"className":2517,"style":921},[778],[573,2519,759],{"className":2520},[925],[573,2522],{"className":2523,"style":921},[778],[573,2525,2527,2530],{"className":2526},[607],[573,2528],{"className":2529,"style":1300},[611],[573,2531,764],{"className":2532},[616],". Aber ",[573,2535,2537,2550],{"className":2536},[576],[573,2538,2540],{"className":2539},[580],[582,2541,2542],{"xmlns":584},[586,2543,2544,2548],{},[589,2545,2546],{},[743,2547,764],{},[596,2549,764],{"encoding":598},[573,2551,2553],{"className":2552,"ariaHidden":603},[602],[573,2554,2556,2559],{"className":2555},[607],[573,2557],{"className":2558,"style":1300},[611],[573,2560,764],{"className":2561},[616]," ist nicht in ",[573,2564,2566,2579],{"className":2565},[576],[573,2567,2569],{"className":2568},[580],[582,2570,2571],{"xmlns":584},[586,2572,2573,2577],{},[589,2574,2575],{},[592,2576,638],{"mathvariant":637},[596,2578,641],{"encoding":598},[573,2580,2582],{"className":2581,"ariaHidden":603},[602],[573,2583,2585,2588],{"className":2584},[607],[573,2586],{"className":2587,"style":651},[611],[573,2589,638],{"className":2590},[616,655],". Die Gleichung hat ",[568,2593,2594],{},"keine Lösung",", ",[573,2597,2599,2619],{"className":2598},[576],[573,2600,2602],{"className":2601},[580],[582,2603,2604],{"xmlns":584},[586,2605,2606,2616],{},[589,2607,2608,2610,2612,2614],{},[592,2609,1884],{"mathvariant":637},[751,2611,759],{},[751,2613,794],{"stretchy":793},[751,2615,810],{"stretchy":793},[596,2617,2618],{"encoding":598},"\\mathbb{L} = \\{\\}",[573,2620,2622,2640],{"className":2621,"ariaHidden":603},[602],[573,2623,2625,2628,2631,2634,2637],{"className":2624},[607],[573,2626],{"className":2627,"style":651},[611],[573,2629,1884],{"className":2630},[616,655],[573,2632],{"className":2633,"style":921},[778],[573,2635,759],{"className":2636},[925],[573,2638],{"className":2639,"style":921},[778],[573,2641,2643,2646,2649],{"className":2642},[607],[573,2644],{"className":2645,"style":1039},[611],[573,2647,794],{"className":2648},[830],[573,2650,810],{"className":2651},[917],[564,2653,2654],{},"Eine quadratische Gleichung entsteht:",[573,2656,2658],{"className":2657},[725],[573,2659,2661,2706],{"className":2660},[576],[573,2662,2664],{"className":2663},[580],[582,2665,2666],{"xmlns":584,"display":734},[586,2667,2668,2703],{},[589,2669,2670,2676,2678,2680,2682,2684,2686,2688,2690,2692,2694,2696,2698,2701],{},[740,2671,2672,2674],{},[743,2673,1144],{},[592,2675,594],{},[751,2677,759],{},[592,2679,594],{},[751,2681,753],{},[743,2683,756],{},[751,2685,776],{"separator":603},[778,2687],{"width":780},[592,2689,638],{"mathvariant":637},[751,2691,759],{},[592,2693,787],{"mathvariant":637},[751,2695,790],{},[751,2697,794],{"stretchy":793},[743,2699,2700],{},"0",[751,2702,810],{"stretchy":793},[596,2704,2705],{"encoding":598},"\\frac{6}{x} = x - 1, \\qquad \\mathbb{D} = \\mathbb{R} \\setminus \\{0\\}",[573,2707,2709,2788,2806,2837,2855],{"className":2708,"ariaHidden":603},[602],[573,2710,2712,2716,2779,2782,2785],{"className":2711},[607],[573,2713],{"className":2714,"style":2715},[611],"height:2.0074em;vertical-align:-0.686em;",[573,2717,2719,2722,2776],{"className":2718},[616],[573,2720],{"className":2721},[830,831],[573,2723,2725],{"className":2724},[740],[573,2726,2728,2767],{"className":2727},[838,839],[573,2729,2731,2764],{"className":2730},[843],[573,2732,2734,2745,2753],{"className":2733,"style":848},[847],[573,2735,2736,2739],{"style":851},[573,2737],{"className":2738,"style":856},[855],[573,2740,2742],{"className":2741},[616],[573,2743,594],{"className":2744},[616,617],[573,2746,2747,2750],{"style":879},[573,2748],{"className":2749,"style":856},[855],[573,2751],{"className":2752,"style":887},[886],[573,2754,2755,2758],{"style":890},[573,2756],{"className":2757,"style":856},[855],[573,2759,2761],{"className":2760},[616],[573,2762,1144],{"className":2763},[616],[573,2765,904],{"className":2766},[903],[573,2768,2770],{"className":2769},[843],[573,2771,2774],{"className":2772,"style":2773},[847],"height:0.686em;",[573,2775],{},[573,2777],{"className":2778},[917,831],[573,2780],{"className":2781,"style":921},[778],[573,2783,759],{"className":2784},[925],[573,2786],{"className":2787,"style":921},[778],[573,2789,2791,2794,2797,2800,2803],{"className":2790},[607],[573,2792],{"className":2793,"style":2360},[611],[573,2795,594],{"className":2796},[616,617],[573,2798],{"className":2799,"style":866},[778],[573,2801,753],{"className":2802},[870],[573,2804],{"className":2805,"style":866},[778],[573,2807,2809,2813,2816,2819,2822,2825,2828,2831,2834],{"className":2808},[607],[573,2810],{"className":2811,"style":2812},[611],"height:0.8833em;vertical-align:-0.1944em;",[573,2814,756],{"className":2815},[616],[573,2817,776],{"className":2818},[1012],[573,2820],{"className":2821,"style":1016},[778],[573,2823],{"className":2824,"style":1020},[778],[573,2826,638],{"className":2827},[616,655],[573,2829],{"className":2830,"style":921},[778],[573,2832,759],{"className":2833},[925],[573,2835],{"className":2836,"style":921},[778],[573,2838,2840,2843,2846,2849,2852],{"className":2839},[607],[573,2841],{"className":2842,"style":1039},[611],[573,2844,787],{"className":2845},[616,655],[573,2847],{"className":2848,"style":866},[778],[573,2850,790],{"className":2851},[870],[573,2853],{"className":2854,"style":866},[778],[573,2856,2858,2861,2864,2867],{"className":2857},[607],[573,2859],{"className":2860,"style":1039},[611],[573,2862,794],{"className":2863},[830],[573,2865,2700],{"className":2866},[616],[573,2868,810],{"className":2869},[917],[564,2871,2255,2872,2317,2900,2424,3009,1667,3134,3254,3255,1667,3306,3362,3363,1453,3391,1667,3555,1937],{},[573,2873,2875,2888],{"className":2874},[576],[573,2876,2878],{"className":2877},[580],[582,2879,2880],{"xmlns":584},[586,2881,2882,2886],{},[589,2883,2884],{},[592,2885,594],{},[596,2887,594],{"encoding":598},[573,2889,2891],{"className":2890,"ariaHidden":603},[602],[573,2892,2894,2897],{"className":2893},[607],[573,2895],{"className":2896,"style":612},[611],[573,2898,594],{"className":2899},[616,617],[573,2901,2903,2930],{"className":2902},[576],[573,2904,2906],{"className":2905},[580],[582,2907,2908],{"xmlns":584},[586,2909,2910,2927],{},[589,2911,2912,2914,2916,2923,2925],{},[743,2913,1144],{},[751,2915,759],{},[2917,2918,2919,2921],"msup",{},[592,2920,594],{},[743,2922,764],{},[751,2924,753],{},[592,2926,594],{},[596,2928,2929],{"encoding":598},"6 = x^2 - x",[573,2931,2933,2951,3000],{"className":2932,"ariaHidden":603},[602],[573,2934,2936,2939,2942,2945,2948],{"className":2935},[607],[573,2937],{"className":2938,"style":1300},[611],[573,2940,1144],{"className":2941},[616],[573,2943],{"className":2944,"style":921},[778],[573,2946,759],{"className":2947},[925],[573,2949],{"className":2950,"style":921},[778],[573,2952,2954,2958,2991,2994,2997],{"className":2953},[607],[573,2955],{"className":2956,"style":2957},[611],"height:0.8974em;vertical-align:-0.0833em;",[573,2959,2961,2964],{"className":2960},[616],[573,2962,594],{"className":2963},[616,617],[573,2965,2968],{"className":2966},[2967],"msupsub",[573,2969,2971],{"className":2970},[838],[573,2972,2974],{"className":2973},[843],[573,2975,2978],{"className":2976,"style":2977},[847],"height:0.8141em;",[573,2979,2981,2985],{"style":2980},"top:-3.063em;margin-right:0.05em;",[573,2982],{"className":2983,"style":2984},[855],"height:2.7em;",[573,2986,2988],{"className":2987},[1528,1529,1530,1531],[573,2989,764],{"className":2990},[616,1531],[573,2992],{"className":2993,"style":866},[778],[573,2995,753],{"className":2996},[870],[573,2998],{"className":2999,"style":866},[778],[573,3001,3003,3006],{"className":3002},[607],[573,3004],{"className":3005,"style":612},[611],[573,3007,594],{"className":3008},[616,617],[573,3010,3012,3042],{"className":3011},[576],[573,3013,3015],{"className":3014},[580],[582,3016,3017],{"xmlns":584},[586,3018,3019,3039],{},[589,3020,3021,3027,3029,3031,3033,3035,3037],{},[2917,3022,3023,3025],{},[592,3024,594],{},[743,3026,764],{},[751,3028,753],{},[592,3030,594],{},[751,3032,753],{},[743,3034,1144],{},[751,3036,759],{},[743,3038,2700],{},[596,3040,3041],{"encoding":598},"x^2 - x - 6 = 0",[573,3043,3045,3089,3107,3125],{"className":3044,"ariaHidden":603},[602],[573,3046,3048,3051,3080,3083,3086],{"className":3047},[607],[573,3049],{"className":3050,"style":2957},[611],[573,3052,3054,3057],{"className":3053},[616],[573,3055,594],{"className":3056},[616,617],[573,3058,3060],{"className":3059},[2967],[573,3061,3063],{"className":3062},[838],[573,3064,3066],{"className":3065},[843],[573,3067,3069],{"className":3068,"style":2977},[847],[573,3070,3071,3074],{"style":2980},[573,3072],{"className":3073,"style":2984},[855],[573,3075,3077],{"className":3076},[1528,1529,1530,1531],[573,3078,764],{"className":3079},[616,1531],[573,3081],{"className":3082,"style":866},[778],[573,3084,753],{"className":3085},[870],[573,3087],{"className":3088,"style":866},[778],[573,3090,3092,3095,3098,3101,3104],{"className":3091},[607],[573,3093],{"className":3094,"style":2360},[611],[573,3096,594],{"className":3097},[616,617],[573,3099],{"className":3100,"style":866},[778],[573,3102,753],{"className":3103},[870],[573,3105],{"className":3106,"style":866},[778],[573,3108,3110,3113,3116,3119,3122],{"className":3109},[607],[573,3111],{"className":3112,"style":1300},[611],[573,3114,1144],{"className":3115},[616],[573,3117],{"className":3118,"style":921},[778],[573,3120,759],{"className":3121},[925],[573,3123],{"className":3124,"style":921},[778],[573,3126,3128,3131],{"className":3127},[607],[573,3129],{"className":3130,"style":1300},[611],[573,3132,2700],{"className":3133},[616],[573,3135,3137,3173],{"className":3136},[576],[573,3138,3140],{"className":3139},[580],[582,3141,3142],{"xmlns":584},[586,3143,3144,3170],{},[589,3145,3146,3148,3150,3152,3154,3156,3158,3160,3162,3164,3166,3168],{},[751,3147,1104],{"stretchy":793},[592,3149,594],{},[751,3151,753],{},[743,3153,745],{},[751,3155,1113],{"stretchy":793},[751,3157,1104],{"stretchy":793},[592,3159,594],{},[751,3161,771],{},[743,3163,764],{},[751,3165,1113],{"stretchy":793},[751,3167,759],{},[743,3169,2700],{},[596,3171,3172],{"encoding":598},"(x - 3)(x + 2) = 0",[573,3174,3176,3197,3224,3245],{"className":3175,"ariaHidden":603},[602],[573,3177,3179,3182,3185,3188,3191,3194],{"className":3178},[607],[573,3180],{"className":3181,"style":1039},[611],[573,3183,1104],{"className":3184},[830],[573,3186,594],{"className":3187},[616,617],[573,3189],{"className":3190,"style":866},[778],[573,3192,753],{"className":3193},[870],[573,3195],{"className":3196,"style":866},[778],[573,3198,3200,3203,3206,3209,3212,3215,3218,3221],{"className":3199},[607],[573,3201],{"className":3202,"style":1039},[611],[573,3204,745],{"className":3205},[616],[573,3207,1113],{"className":3208},[917],[573,3210,1104],{"className":3211},[830],[573,3213,594],{"className":3214},[616,617],[573,3216],{"className":3217,"style":866},[778],[573,3219,771],{"className":3220},[870],[573,3222],{"className":3223,"style":866},[778],[573,3225,3227,3230,3233,3236,3239,3242],{"className":3226},[607],[573,3228],{"className":3229,"style":1039},[611],[573,3231,764],{"className":3232},[616],[573,3234,1113],{"className":3235},[917],[573,3237],{"className":3238,"style":921},[778],[573,3240,759],{"className":3241},[925],[573,3243],{"className":3244,"style":921},[778],[573,3246,3248,3251],{"className":3247},[607],[573,3249],{"className":3250,"style":1300},[611],[573,3252,2700],{"className":3253},[616],". Beide Lösungen ",[573,3256,3258,3276],{"className":3257},[576],[573,3259,3261],{"className":3260},[580],[582,3262,3263],{"xmlns":584},[586,3264,3265,3273],{},[589,3266,3267,3269,3271],{},[592,3268,594],{},[751,3270,759],{},[743,3272,745],{},[596,3274,3275],{"encoding":598},"x = 3",[573,3277,3279,3297],{"className":3278,"ariaHidden":603},[602],[573,3280,3282,3285,3288,3291,3294],{"className":3281},[607],[573,3283],{"className":3284,"style":612},[611],[573,3286,594],{"className":3287},[616,617],[573,3289],{"className":3290,"style":921},[778],[573,3292,759],{"className":3293},[925],[573,3295],{"className":3296,"style":921},[778],[573,3298,3300,3303],{"className":3299},[607],[573,3301],{"className":3302,"style":1300},[611],[573,3304,745],{"className":3305},[616],[573,3307,3309,3329],{"className":3308},[576],[573,3310,3312],{"className":3311},[580],[582,3313,3314],{"xmlns":584},[586,3315,3316,3326],{},[589,3317,3318,3320,3322,3324],{},[592,3319,594],{},[751,3321,759],{},[751,3323,753],{},[743,3325,764],{},[596,3327,3328],{"encoding":598},"x = -2",[573,3330,3332,3350],{"className":3331,"ariaHidden":603},[602],[573,3333,3335,3338,3341,3344,3347],{"className":3334},[607],[573,3336],{"className":3337,"style":612},[611],[573,3339,594],{"className":3340},[616,617],[573,3342],{"className":3343,"style":921},[778],[573,3345,759],{"className":3346},[925],[573,3348],{"className":3349,"style":921},[778],[573,3351,3353,3356,3359],{"className":3352},[607],[573,3354],{"className":3355,"style":1278},[611],[573,3357,753],{"className":3358},[616],[573,3360,764],{"className":3361},[616]," liegen in ",[573,3364,3366,3379],{"className":3365},[576],[573,3367,3369],{"className":3368},[580],[582,3370,3371],{"xmlns":584},[586,3372,3373,3377],{},[589,3374,3375],{},[592,3376,638],{"mathvariant":637},[596,3378,641],{"encoding":598},[573,3380,3382],{"className":3381,"ariaHidden":603},[602],[573,3383,3385,3388],{"className":3384},[607],[573,3386],{"className":3387,"style":651},[611],[573,3389,638],{"className":3390},[616,655],[573,3392,3394,3424],{"className":3393},[576],[573,3395,3397],{"className":3396},[580],[582,3398,3399],{"xmlns":584},[586,3400,3401,3421],{},[589,3402,3403,3409,3411,3413,3415,3417,3419],{},[740,3404,3405,3407],{},[743,3406,1144],{},[743,3408,745],{},[751,3410,759],{},[743,3412,764],{},[751,3414,759],{},[743,3416,745],{},[751,3418,753],{},[743,3420,756],{},[596,3422,3423],{"encoding":598},"\\frac{6}{3} = 2 = 3 - 1",[573,3425,3427,3510,3528,3546],{"className":3426,"ariaHidden":603},[602],[573,3428,3430,3433,3501,3504,3507],{"className":3429},[607],[573,3431],{"className":3432,"style":1594},[611],[573,3434,3436,3439,3498],{"className":3435},[616],[573,3437],{"className":3438},[830,831],[573,3440,3442],{"className":3441},[740],[573,3443,3445,3490],{"className":3444},[838,839],[573,3446,3448,3487],{"className":3447},[843],[573,3449,3451,3465,3473],{"className":3450,"style":1518},[847],[573,3452,3453,3456],{"style":1521},[573,3454],{"className":3455,"style":856},[855],[573,3457,3459],{"className":3458},[1528,1529,1530,1531],[573,3460,3462],{"className":3461},[616,1531],[573,3463,745],{"className":3464},[616,1531],[573,3466,3467,3470],{"style":879},[573,3468],{"className":3469,"style":856},[855],[573,3471],{"className":3472,"style":887},[886],[573,3474,3475,3478],{"style":1551},[573,3476],{"className":3477,"style":856},[855],[573,3479,3481],{"className":3480},[1528,1529,1530,1531],[573,3482,3484],{"className":3483},[616,1531],[573,3485,1144],{"className":3486},[616,1531],[573,3488,904],{"className":3489},[903],[573,3491,3493],{"className":3492},[843],[573,3494,3496],{"className":3495,"style":1661},[847],[573,3497],{},[573,3499],{"className":3500},[917,831],[573,3502],{"className":3503,"style":921},[778],[573,3505,759],{"className":3506},[925],[573,3508],{"className":3509,"style":921},[778],[573,3511,3513,3516,3519,3522,3525],{"className":3512},[607],[573,3514],{"className":3515,"style":1300},[611],[573,3517,764],{"className":3518},[616],[573,3520],{"className":3521,"style":921},[778],[573,3523,759],{"className":3524},[925],[573,3526],{"className":3527,"style":921},[778],[573,3529,3531,3534,3537,3540,3543],{"className":3530},[607],[573,3532],{"className":3533,"style":1278},[611],[573,3535,745],{"className":3536},[616],[573,3538],{"className":3539,"style":866},[778],[573,3541,753],{"className":3542},[870],[573,3544],{"className":3545,"style":866},[778],[573,3547,3549,3552],{"className":3548},[607],[573,3550],{"className":3551,"style":1300},[611],[573,3553,756],{"className":3554},[616],[573,3556,3558,3596],{"className":3557},[576],[573,3559,3561],{"className":3560},[580],[582,3562,3563],{"xmlns":584},[586,3564,3565,3593],{},[589,3566,3567,3577,3579,3581,3583,3585,3587,3589,3591],{},[740,3568,3569,3571],{},[743,3570,1144],{},[589,3572,3573,3575],{},[751,3574,753],{},[743,3576,764],{},[751,3578,759],{},[751,3580,753],{},[743,3582,745],{},[751,3584,759],{},[751,3586,753],{},[743,3588,764],{},[751,3590,753],{},[743,3592,756],{},[596,3594,3595],{"encoding":598},"\\frac{6}{-2} = -3 = -2 - 1",[573,3597,3599,3685,3706,3727],{"className":3598,"ariaHidden":603},[602],[573,3600,3602,3605,3676,3679,3682],{"className":3601},[607],[573,3603],{"className":3604,"style":1499},[611],[573,3606,3608,3611,3673],{"className":3607},[616],[573,3609],{"className":3610},[830,831],[573,3612,3614],{"className":3613},[740],[573,3615,3617,3665],{"className":3616},[838,839],[573,3618,3620,3662],{"className":3619},[843],[573,3621,3623,3640,3648],{"className":3622,"style":1518},[847],[573,3624,3625,3628],{"style":1521},[573,3626],{"className":3627,"style":856},[855],[573,3629,3631],{"className":3630},[1528,1529,1530,1531],[573,3632,3634,3637],{"className":3633},[616,1531],[573,3635,753],{"className":3636},[616,1531],[573,3638,764],{"className":3639},[616,1531],[573,3641,3642,3645],{"style":879},[573,3643],{"className":3644,"style":856},[855],[573,3646],{"className":3647,"style":887},[886],[573,3649,3650,3653],{"style":1551},[573,3651],{"className":3652,"style":856},[855],[573,3654,3656],{"className":3655},[1528,1529,1530,1531],[573,3657,3659],{"className":3658},[616,1531],[573,3660,1144],{"className":3661},[616,1531],[573,3663,904],{"className":3664},[903],[573,3666,3668],{"className":3667},[843],[573,3669,3671],{"className":3670,"style":1573},[847],[573,3672],{},[573,3674],{"className":3675},[917,831],[573,3677],{"className":3678,"style":921},[778],[573,3680,759],{"className":3681},[925],[573,3683],{"className":3684,"style":921},[778],[573,3686,3688,3691,3694,3697,3700,3703],{"className":3687},[607],[573,3689],{"className":3690,"style":1278},[611],[573,3692,753],{"className":3693},[616],[573,3695,745],{"className":3696},[616],[573,3698],{"className":3699,"style":921},[778],[573,3701,759],{"className":3702},[925],[573,3704],{"className":3705,"style":921},[778],[573,3707,3709,3712,3715,3718,3721,3724],{"className":3708},[607],[573,3710],{"className":3711,"style":1278},[611],[573,3713,753],{"className":3714},[616],[573,3716,764],{"className":3717},[616],[573,3719],{"className":3720,"style":866},[778],[573,3722,753],{"className":3723},[870],[573,3725],{"className":3726,"style":866},[778],[573,3728,3730,3733],{"className":3729},[607],[573,3731],{"className":3732,"style":1300},[611],[573,3734,756],{"className":3735},[616],[559,3737,3739],{"id":3738},"typische-fehler","Typische Fehler",[3741,3742,3743,3797,3890],"ul",{},[664,3744,3745,3746,3796],{},"Die Definitionsmenge vergessen und deshalb eine Lösung angeben, für die ein Nenner null wird, wie ",[573,3747,3749,3766],{"className":3748},[576],[573,3750,3752],{"className":3751},[580],[582,3753,3754],{"xmlns":584},[586,3755,3756,3764],{},[589,3757,3758,3760,3762],{},[592,3759,594],{},[751,3761,759],{},[743,3763,764],{},[596,3765,2502],{"encoding":598},[573,3767,3769,3787],{"className":3768,"ariaHidden":603},[602],[573,3770,3772,3775,3778,3781,3784],{"className":3771},[607],[573,3773],{"className":3774,"style":612},[611],[573,3776,594],{"className":3777},[616,617],[573,3779],{"className":3780,"style":921},[778],[573,3782,759],{"className":3783},[925],[573,3785],{"className":3786,"style":921},[778],[573,3788,3790,3793],{"className":3789},[607],[573,3791],{"className":3792,"style":1300},[611],[573,3794,764],{"className":3795},[616]," im zweiten Beispiel.",[664,3798,3799,3800,3828,3829,3889],{},"Nur die Brüche mit dem Hauptnenner multiplizieren, nicht aber die anderen Summanden: Im zweiten Beispiel wird auch die ",[573,3801,3803,3816],{"className":3802},[576],[573,3804,3806],{"className":3805},[580],[582,3807,3808],{"xmlns":584},[586,3809,3810,3814],{},[589,3811,3812],{},[743,3813,756],{},[596,3815,756],{"encoding":598},[573,3817,3819],{"className":3818,"ariaHidden":603},[602],[573,3820,3822,3825],{"className":3821},[607],[573,3823],{"className":3824,"style":1300},[611],[573,3826,756],{"className":3827},[616]," mit 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