Solving polynomial equations 6 {x}^(2) = 48x

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}`