# How do you solve \frac { 5q ^ { 2} } { 6} - \frac { q ^ { 2} } { 3} = 72?

Nov 19, 2016

$q = \pm 12$

#### Explanation:

$\frac{5 {q}^{2}}{6} - {q}^{2} / 3 = 72$

Multiply through by 6:

$5 {q}^{2} - 2 {q}^{2} = 72 \times 6$

$3 {q}^{2} = 72 \times 6$

${q}^{2} = 144$

$q = \sqrt{144}$

$q = \pm 12$