\(2x^2-5x+2=0\)
\(\Leftrightarrow2x^2-4x-x+2=0\)
\(\Leftrightarrow2x\left(x-2\right)-\left(x-2\right)=0\)
\(\Leftrightarrow\left(2x-1\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=0\\x-2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=2\end{matrix}\right.\)