Từ đề bài => 2 trường hợp
th1: x=0
th2: x=\(\frac{-1}{2}\)
\(\left(x+\frac{1}{2}\right)\times\left(\frac{2}{3}\times2\right)\times x=0\)
\(\left(x+\frac{1}{2}\right)\times\frac{4}{3}\times x=0\)
\(\Rightarrow x+\frac{1}{2}=0\) HOẶC \(x=0\)
\(x=0-\frac{1}{2}=-\frac{1}{2}\)
VẬY, \(x=-\frac{1}{2}\) HOẶC \(x=0\)
\(\left(x+\frac{1}{2}\right)\cdot\left(\frac{2}{3}\cdot2\right)\cdot x=0\)
\(\left(x+\frac{1}{2}\right)\cdot\frac{4}{3}x=0\)
\(\Rightarrow\hept{\begin{cases}x+\frac{1}{2}=0\\\frac{4}{3}x=0\end{cases}}\)
\(1.x+\frac{1}{2}=0\)
\(\Rightarrow x=-\frac{1}{2}\)
\(2.\frac{4}{3}x=0\)
\(x=0\)
Vậy \(x\in\left\{-\frac{1}{2};0\right\}\)