\(\left[{}\begin{matrix}2-3x=0\\x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=3\end{matrix}\right.\)
\(\text{ 2(x-3)=3x(x-3)}\\ 2\left(x-3\right)-3x\left(x-3\right)=0\\ \left(2-3x\right)\left(x-3\right)=0\\ \left[{}\begin{matrix}2-3x=0\\x-3=0\end{matrix}\right.\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=3\end{matrix}\right.\)