#### Answer

$x=\{ -5,3 \}$

#### Work Step by Step

By the Zero-Product Property, $ab=0$ implies $a=0 \text{ OR } b=0$. Hence, the solution to the given equation, $
(x-3)(x+5)=0
$, is
\begin{array}{}
x-3=0
\\
x=0+3
\\
x=3
,\\\\\text{OR}\\\\
x+5=0
\\
x=0-5
\\
x=-5
.\end{array}
Hence, $
x=\{ -5,3 \}
$.