Intermediate Algebra (6th Edition)

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