## Intermediate Algebra: Connecting Concepts through Application

$\color{blue}{\left\{-\frac{6}{5}, -1, 0\right\}}$
RECALL: Zero-Factor Property: If $ab = 0$, then either $a=0$ or $b=0$ or both are $0$. Use the property above to obtain: \begin{array}{ccccc} &x=0 &\text{or} &x+1=0 &\text{or} &5x+6=0 \end{array} Solve each equation to obtain: $x=0$ or $x+1=0 \\x=0-1 \\x=-1$ or $5x+6=0 \\5x=0-6 \\5x=-6 \\\frac{5x}{5}=\frac{-6}{5} \\x=-\frac{6}{5}$ Thus, the solution set is $\color{blue}{\left\{-\frac{6}{5}, -1, 0\right\}}$.