Ta có :
\(2x^2-3x=0\)
\(\Leftrightarrow\)\(x\left(2x-3\right)=0\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=0\\2x-3=0\end{cases}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=0\\2x=3\end{cases}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=0\\x=\frac{3}{2}\end{cases}}\)
Vậy \(x\in\left\{0;\frac{3}{2}\right\}\)