Question

$17 x^{2} -5 x=14 x^{2} +7 x$

Answer 1

$17x^{2}-5x=14x^{2}+7x$
$17x^{2}-5x-14x^{2}-7x=0$
$x(17x-5-14x-7)=0$
$x(3x-12)=0$
$x*3(x-4)=0$
$x(x-4)=0$
$left { {{x=0} atop {x-4=0}} right.$
$left { {{x=0} atop {x=4}} right.$