(-3)/(5(1/3 x-2))= 2/7 x

解

\frac{- 3}{5 ( \frac{1}{3} x - 2 )} = \frac{2}{7} x

x = \frac{3 ( 10 + 30 )}{10}, x = \frac{3 ( 10 - 30 )}{10}

十進法表記

x = 4.64316 \dots, x = 1.35683 \dots

解答ステップ

\frac{- 3}{5 ( \frac{1}{3} x - 2 )} = \frac{2}{7} x

LCMで乗じる

- 63 = 10 x (x - 6)

解く

- 63 = 10 x (x - 6) : x = \frac{3 ( 10 + 30 )}{10}, x = \frac{3 ( 10 - 30 )}{10}

x = \frac{3 ( 10 + 30 )}{10}, x = \frac{3 ( 10 - 30 )}{10}

解を検算する

未定義の (特異) 点を求める:

x = 6

未定義のポイントを解に組み合わせる:

x = \frac{3 ( 10 + 30 )}{10}, x = \frac{3 ( 10 - 30 )}{10}