\(2x^2-2x+x-1=0\)
\(\Rightarrow\left(2x^2-2x\right)+\left(x-1\right)=0\)
\(\Rightarrow2x\left(x-1\right)+\left(x-1\right)=0\)
\(\Rightarrow\left(x-1\right)\left(2x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-1=0\Rightarrow x=1\\2x-1=0\Rightarrow x=0,5\end{matrix}\right.\)