Answer
$$x=-\frac{2}{3} \text{ and } x=1$$
Work Step by Step
Factor the trinomial to obtain:
$$(3x+2)(x-1)=0$$
Use the Zero-Product Property by equating each factor to zero, then solve each equation to obtain:
\begin{align*}
3x+2&=0 &\text{or}& &x-1=0\\
3x&=-2 &\text{or}& &x=1\\
\frac{3x}{3}&=\frac{-2}{3} &\text{or}& &x=1\\
x&=-\frac{2}{3} &\text{or}& &x=1\\
\end{align*}
Thus, the solutions are $x=-\frac{2}{3}$ and $x=1$.
