`2x^2 - 3x + 1 = 0`
` => 2x^2 - x - 2x + 1 = 0`
` => x(2x-1) - (2x-1) = 0`
` => (x-1)(2x-1)=0`
` =>` \(\left[ \begin{array}{l}x-1=0\\2x-1=0\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x=1\\2x=1\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x=1\\x=\dfrac{1}{2}\end{array} \right.\)