Answer
$\left\{-1,\dfrac{1}{2}\right\}$
Work Step by Step
First we factor:
$(x+1)(2x-1)=0$
Then use the Zero Factor property by equating each factor to zero:
$x+1=0$ or $2x-1=0$
Solve the equations:
$x=-1$ or $x=\dfrac{1}{2}$
The solution set is:
$\left\{-1,\dfrac{1}{2}\right\}$