\(\left(\dfrac{5}{6}-\dfrac{3}{4}\right):\dfrac{-2x}{3}=-\dfrac{12}{9}\)
\(\Rightarrow\dfrac{1}{12}:\dfrac{-2x}{3}=-\dfrac{12}{9}\)
\(\Rightarrow\dfrac{-2x}{3}=\dfrac{1}{12}:\left(-\dfrac{12}{9}\right)=-\dfrac{1}{16}\)
\(\Rightarrow-2x=-\dfrac{1}{16}\cdot3=-\dfrac{3}{16}\)
\(\Rightarrow x=-\dfrac{3}{16}:\left(-2\right)=\dfrac{3}{32}\)
Vậy................
\(\left(\dfrac{5}{6}-\dfrac{3}{4}\right):\dfrac{-2x}{3}=\dfrac{-12}{9}\)
\(\dfrac{1}{12}:\dfrac{-2x}{3}=\dfrac{-12}{9}\)
\(\Rightarrow\dfrac{-2x}{3}=\dfrac{1}{12}:\left(\dfrac{-12}{9}\right)=-\dfrac{1}{16}\)
\(-2x.\left(-16\right)=3\)
\(\Rightarrow32x=3\)
\(\Rightarrow x=\dfrac{3}{32}\)
\(\left(\dfrac{5}{6}-\dfrac{3}{4}\right):\dfrac{-2x}{3}=\dfrac{-12}{9}\)
\(\Leftrightarrow\dfrac{1}{12}.\dfrac{3}{-2x}=\dfrac{-12}{9}\)
\(\Leftrightarrow\dfrac{-1}{8x}=\dfrac{-12}{9}\)
\(\Leftrightarrow\dfrac{1}{8x}=\dfrac{4}{3}\)
\(\Leftrightarrow3=32x\)
\(\Rightarrow x=\dfrac{3}{32}\)
Vậy tập nghiệm của PT là \(S=\left\{\dfrac{3}{32}\right\}\)
\(\left(\dfrac{5}{6}-\dfrac{3}{4}\right):\dfrac{-2x}{3}=\dfrac{-12}{9}\)
\(\Leftrightarrow\dfrac{1}{12}:\dfrac{-2x}{3}=\dfrac{-12}{9}\)
\(\Leftrightarrow\dfrac{3}{-24x}=\dfrac{-12}{9}\)
\(\Leftrightarrow27=288x\)
\(x=27:288=\dfrac{3}{32}\)
