a) $x^2-3x=0$
$⇔x(x-3)=0$
$⇔x=0,x=3$
b) $x^2-5x-14=0$
$⇔x^2-7x+2x-14=0$
$⇔(x-7)(x+2)=0$
$⇔x=7,x=-2$
c)$2x^2-4x=0$
$⇔x^2-2x=0$
$⇔x(x-2)=0$
$⇔x=2,x=0$
d) $x^2-6x+5=0$
$⇔x^2-5x-x+5=0$
$⇔(x-5)(x-1)=0$
$⇔x=5,x=1$
e) $(x-2)^2-(x-3)(x+3)=6$
$⇔x^2-4x+4-x^2+9-6=0$
$⇔-4x=-7$
$⇔x=\dfrac{7}{4}$
f) $(x-4)^2-(x-2)(x+2)=0$
$⇔x^2-8x+16-x^2+4=0$
$⇔-8x=-20$
$⇔x=\dfrac{5}{2}$