10x^2+5x=5x-8

解

10 x^{2} + 5 x = 5 x - 8

x = \frac{2}{5} i, x = - \frac{2}{5} i

解答ステップ

10 x^{2} + 5 x = 5 x - 8

5 x

を左側に移動します

10 x^{2} = - 8

以下で両辺を割る

10

x^{2} = - \frac{4}{5}

x^{2} = f (a)

の場合, 解は

x = f (a), - f (a)

x = - \frac{4}{5}, x = - - \frac{4}{5}

- \frac{4}{5} = \frac{2}{5} i

- - \frac{4}{5} = - \frac{2}{5} i

x = \frac{2}{5} i, x = - \frac{2}{5} i