2x^2+5=5x^2-37

Solution for 2x^2+5=5x^2-37 equation:

Simplifying
2x2 + 5 = 5x2 + -37

Reorder the terms:
5 + 2x2 = 5x2 + -37

Reorder the terms:
5 + 2x2 = -37 + 5x2

Solving
5 + 2x2 = -37 + 5x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x2' to each side of the equation.
5 + 2x2 + -5x2 = -37 + 5x2 + -5x2

Combine like terms: 2x2 + -5x2 = -3x2
5 + -3x2 = -37 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
5 + -3x2 = -37 + 0
5 + -3x2 = -37

Add '-5' to each side of the equation.
5 + -5 + -3x2 = -37 + -5

Combine like terms: 5 + -5 = 0
0 + -3x2 = -37 + -5
-3x2 = -37 + -5

Combine like terms: -37 + -5 = -42
-3x2 = -42

Divide each side by '-3'.
x2 = 14

Simplifying
x2 = 14

Take the square root of each side:
x = {-3.741657387, 3.741657387}