Answer
The solution set is {$-\frac{2}{3},\frac{3}{2}$}.
Work Step by Step
$6(p^2-1)=5p$
$6p^2-5p-6=0$ Distribute and write in standard form.
$(2p-3)(3p+2)=0$ Factor.
$2p-3=0$ or $3p+2=0$ Set each factor equal to $0$.
$2p=3$ or $3p=-2$ Solve each equation.
$p=\frac{3}{2}$ or $p=-\frac{2}{3}$
The solution set is {$-\frac{2}{3},\frac{3}{2}$}.
