Answer
$\color{blue}{\left\{0 ,
\dfrac{26}{47}\right\}}$
Work Step by Step
Factor out $4.7x$ to obtain:
\begin{align*}
4.7x\left(x-\frac{2.6}{4.7}\right)&=0\\\\
4.7x\left(x-\frac{26}{47}\right)&=0\\\\
\end{align*}
Use the Zero-Product Property by equating each factor to zero.
Then, solve each equation to obtain:
\begin{align*}
4.7x&=0 &\text{or}& &x-\frac{26}{47}&=0\\\\
x&=0 &\text{or}& &x=\frac{26}{47}\\\\
\end{align*}
Therefore, the solution set is $\color{blue}{\left\{0 ,
\dfrac{26}{47}\right\}}$.
