Đáp án_Giải thích các bước giải:
`((2)/(3)x-(4)/(9))*((1)/(2)+(-3)/(7):x)=0`
`⇒`\(\left[ \begin{array}{l}\dfrac{2}{3}x-\dfrac{4}{9}=0\\\dfrac{1}{2}+\dfrac{-3}{7}:x=0\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}\dfrac{2}{3}x=\dfrac{4}{9}\\\dfrac{-3}{7}:x=\dfrac{-1}{2}\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x=\dfrac{4}{9}:\dfrac{2}{3}\\x=\dfrac{-3}{7}:\dfrac{-1}{2}\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x=\dfrac{4}{9}.\dfrac{3}{2}\\x=\dfrac{3}{7}.2\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x=\dfrac{2}{3}\\x=\dfrac{6}{7}\end{array} \right.\)
Vậy `x=(2)/(3); x=(6)/(7)`