a) $(2x-5)^2-(x+2)^2=0$
$⇔(2x-5-x-2)(2x-5+x+2)=0$
$⇔(x-7)(3x-3)=0$
$⇔\left[ \begin{array}{l}x-7=0\\3x-3=0\end{array} \right.$
$⇔\left[ \begin{array}{l}x=7\\x=1\end{array} \right.$
b) $x^2-x-(3x-3)=0$
$⇔x^2-4x+3=0$
$⇔x^2-3x-x+3=0$
$⇔(x-3)(x-1)=0$
$⇔\left[ \begin{array}{l}x-3=0\\x-1=0\end{array} \right.$
$⇔\left[ \begin{array}{l}x=3\\x=1\end{array} \right.$