Question

solving polynomial equations
$6 {x}^{2} = 48x$

Answer 1

$6x^2=48x\qquad\text{subtract 48x from both sides}\\\\6x^2-48x=0\qquad\text{divide both sides by 6}\\\\x^2-8x=0\\\\x(x-8)=0\iff x=0\ \vee\ x-8=0\\\\\boxed{x=0\ \vee\ x=8}$