\(5x(x-2)-x+2\)
\(=5x(x-2)-(x-2)\)
\(=(x-2)(5x-1)\)
\(\Rightarrow5x\left(x-2\right)-\left(x-2\right)\)
\(\Rightarrow\left(x-2\right)\left(5x-1\right)\)
\(\Rightarrow\left\{{}\begin{matrix}x-2=0\\5x-1=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=2\\x=\dfrac{1}{5}\end{matrix}\right.\)