2/(3(x+1/5))= 3/4 (x-6/3)

解

\frac{2}{3 ( x + \frac{1}{5} )} = \frac{3}{4} (x - \frac{6}{3})

x = \frac{27 + 1889}{30}, x = \frac{27 - 1889}{30}

十進法表記

x = 2.34875 \dots, x = - 0.54875 \dots

解答ステップ

\frac{2}{3 ( x + \frac{1}{5} )} = \frac{3}{4} (x - \frac{6}{3})

LCMで乗じる

40 = 9 (x - 2) (5 x + 1)

解く

40 = 9 (x - 2) (5 x + 1) : x = \frac{27 + 1889}{30}, x = \frac{27 - 1889}{30}

x = \frac{27 + 1889}{30}, x = \frac{27 - 1889}{30}

解を検算する

未定義の (特異) 点を求める:

x = - \frac{1}{5}

未定義のポイントを解に組み合わせる:

x = \frac{27 + 1889}{30}, x = \frac{27 - 1889}{30}