# How do you solve -8+ 36p ^ { 2} = 92?

May 19, 2017

$\pm \frac{5}{3}$

#### Explanation:

Add $8$ to both sides:

$36 {p}^{2} = 100$

${p}^{2} = \frac{100}{36}$

$p = \sqrt{\frac{100}{36}}$

$p = \pm \frac{10}{6} = \pm \frac{5}{3}$