## Intermediate Algebra (6th Edition)

$x=0$ and $x=6$
$2x^{2}=12x$ 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 $x=6$