Answer
$\color{blue}{\left\{-\frac{10}{3}, -7\right\}}$
Work Step by Step
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}
&2=0 &\text{or} &w+7=0 &\text{or} &3w+10=0
\end{array}
Solve each equation to obtain:
$2=0$, no solution
or
$w+7=0
\\w=0-7
\\w=-7$
or
$3w+10=0
\\3w=0-10
\\3w=-10
\\\frac{3w}{3} = \frac{-10}{3}
\\w = -\frac{10}{3}$
Thus, the solution set is $\color{blue}{\left\{-\frac{10}{3}, -7\right\}}$.
