How do you solve the equation 2x^2+5=5x^2-37?

Apr 29, 2017

$x = \pm \sqrt{14}$

Explanation:

$2 {x}^{2} + 5 = 5 {x}^{2} - 37$

$5 + 37 = 5 {x}^{2} - 2 {x}^{2}$

$42 = 3 {x}^{2}$

$\frac{42}{3} = {x}^{2}$

${x}^{2} = 14$

$x = \pm \sqrt{14}$