10:
Ta có: |x(x-2)|=2x
\(\Leftrightarrow\left[{}\begin{matrix}x^2-2x=2x\left(\left[{}\begin{matrix}x\ge2\\x\le0\end{matrix}\right.\right)\\x^2-2x=-2x\left(0< x< 2\right)\end{matrix}\right.\)
\(\Leftrightarrow x^2-4x=0\)
\(\Leftrightarrow x\left(x-4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)