Answer
$x=0$ and $x=6$
Work Step by Step
$2x^{2}=12x$
Subtract $12x$ from both sides
$2x^{2}-12x=0$
Factor out $2x$ (or undistribute)
$2x(x-6)=0$
Using the Zero Product Property
$2x=0$ and $x-6=0$
The first equation
$2x=0$
Divide by $2$
$x=0$
The second equation
$x-6=0$
Add $6$ to both sides
$x=6$
