4x^2-2x^2-108=0

Solution for 4x^2-2x^2-108=0 equation:

Simplifying
4x2 + -2x2 + -108 = 0

Reorder the terms:
-108 + 4x2 + -2x2 = 0

Combine like terms: 4x2 + -2x2 = 2x2
-108 + 2x2 = 0

Solving
-108 + 2x2 = 0

Solving for variable 'x'.

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

Add '108' to each side of the equation.
-108 + 108 + 2x2 = 0 + 108

Combine like terms: -108 + 108 = 0
0 + 2x2 = 0 + 108
2x2 = 0 + 108

Combine like terms: 0 + 108 = 108
2x2 = 108

Divide each side by '2'.
x2 = 54

Simplifying
x2 = 54

Take the square root of each side:
x = {-7.348469228, 7.348469228}