\(\Leftrightarrow5x^2-5x+2x-2=0\)
\(\Leftrightarrow5x\left(x-1\right)+2\left(x-1\right)=0\)
\(\Leftrightarrow\left(5x+2\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}5x+2=0\\x-1=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{2}{5}\\x=1\end{matrix}\right.\)