Answer
$\color{blue}{\left\{0, 5\right\}}$
Work Step by Step
Factor out $\dfrac{1}{7}x$ to obtain:
\begin{align*}
\frac{1}{7}x\left(x-5\right)&=0
\end{align*}
Use the Zero-Product Property by equating each factor to zero.
Then, solve each equation to obtain:
\begin{align*}
\frac{1}{7}x&=0 &\text{or}& &x-5&=0\\\\
x&=0 &\text{or}& &x=5
\end{align*}
Therefore, the solution set is $\color{blue}{\left\{0, 5\right\}}$.
