`(2x-1)^2-x(x-3)=1`
`⇔(2x)^2-2.2x.1+1^2-x^2+3x-1=0`
`⇔4x^2-4x+1-x^2+3x-1=0`
`⇔(4x^2-x^2)+(3x-4x)+(1-1)=0`
`⇔3x^2-x=0`
`⇔x(3x-1)=0`
\(⇒\left[ \begin{array}{l}x=0\\3x-1=0\end{array} \right.\)
\(⇒\left[ \begin{array}{l}x=0\\x=\dfrac13\end{array} \right.\)
