(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}