x/(15x+6)=10x-24

解

\frac{x}{15 x + 6} = 10 x - 24

x = \frac{301 + 177001}{300}, x = \frac{301 - 177001}{300}

十進法表記

x = 2.40571 \dots, x = - 0.39904 \dots

解答ステップ

\frac{x}{15 x + 6} = 10 x - 24

以下で両辺を乗じる:

15 x + 6

x = 10 x (15 x + 6) - 24 (15 x + 6)

解く

x = 10 x (15 x + 6) - 24 (15 x + 6) : x = \frac{301 + 177001}{300}, x = \frac{301 - 177001}{300}

x = \frac{301 + 177001}{300}, x = \frac{301 - 177001}{300}

解を検算する

未定義の (特異) 点を求める:

x = - \frac{2}{5}

未定義のポイントを解に組み合わせる:

x = \frac{301 + 177001}{300}, x = \frac{301 - 177001}{300}