College Algebra (10th Edition)

The solution set is $\left\{0, -4\right\}$
Factor out the GCF, which is $x$, to obtain: $x(x+4)=0$ Use the Zero-Product Property by equating each factor to zero and then solving each equation to obtain: $\begin{array}{ccc} &x=0 &\text{ or } &x+4=0 \\&x=0 &\text{ or } &x=-4 \end{array}$ Thus, the solution set is $\left\{0, -4\right\}$.