## Intermediate Algebra (6th Edition)

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