2/3 =3x-6/(-x+3)

解

\frac{2}{3} = 3 x - \frac{6}{- x + 3}

x = \frac{29}{18} - i \frac{23}{18}, x = \frac{29}{18} + i \frac{23}{18}

解答ステップ

\frac{2}{3} = 3 x - \frac{6}{- x + 3}

LCMで乗じる

2 (- x + 3) = 9 x (- x + 3) - 18

解く

2 (- x + 3) = 9 x (- x + 3) - 18 : x = \frac{29}{18} - i \frac{23}{18}, x = \frac{29}{18} + i \frac{23}{18}

x = \frac{29}{18} - i \frac{23}{18}, x = \frac{29}{18} + i \frac{23}{18}