Answer
$\color{blue}{\left\{0 ,
\dfrac{82}{35}\right\}}$
Work Step by Step
Factor out $3.5w$ to obtain:
\begin{align*}
3.5w\left(w+\frac{8.2}{3.5}\right)&=0\\\\
3.5w\left(w+\frac{82}{35}\right)&=0\\\\
\end{align*}
Use the Zero-Product Property by equating each factor to zero.
Then, solve each equation to obtain:
\begin{align*}
3.5w&=0 &\text{or}& &x+\frac{82}{35}&=0\\\\
w&=0 &\text{or}& &w=\frac{82}{35}\\\\
\end{align*}
Therefore, the solution set is $\color{blue}{\left\{0 ,
\dfrac{82}{35}\right\}}$.
