7. Factoring

Use the zero product rule to solve the following equations for $x$.

$(x-5)(x+3)=0$

Use the zero product rule to solve the following equations for $x$.

$2(x-4)(x+6)=0$

Solve the following quadratic equations.

$2x^2-10x=0$

Solve the following quadratic equations.

$2x^2=5x+3$.