Ta có:
\(5x\left(x-1\right)=x-1\)
\(\Leftrightarrow\left(5x-1\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}5x-1=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\frac{1}{5}\\x=1\end{matrix}\right.\)
Vậy \(x\in\left\{\frac{1}{5};1\right\}\)