Answer
$x=3$ and $x=-5$
Work Step by Step
$(x-3)(x+5)=0$ Original problem.
$(x-3)=0$ and $(x+5)=0$ Set both factors equal to zero.
$x-3=0$ and $x+5=0$ Drop the parenthesis.
$x=3$ and $x=-5$ Solve both mini-equations.