\(\left(x-3\right)\left(10-2x\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=0\\10-2x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\-2x=-10\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=5\end{matrix}\right.\)