# How do you solve 5x ^ { 2} = 352- 2^ { 5}?

$x = \pm 8$

#### Explanation:

$5 {x}^{2} = 352 - {2}^{5}$
${2}^{5} = 32$
$5 {x}^{2} = 352 - 32$
$352 - 32 = 320$
$5 {x}^{2} = 320$
${x}^{2} = \frac{320}{5}$
$\frac{320}{5} = 64$
${x}^{2} = 64$
$x = \pm \sqrt{64}$
$\sqrt{64} = 8$
$x = \pm 8$