4x^2-36+4x^2-108=0

Solution for 4x^2-36+4x^2-108=0 equation:

Simplifying
4x2 + -36 + 4x2 + -108 = 0

Reorder the terms:
-36 + -108 + 4x2 + 4x2 = 0

Combine like terms: -36 + -108 = -144
-144 + 4x2 + 4x2 = 0

Combine like terms: 4x2 + 4x2 = 8x2
-144 + 8x2 = 0

Solving
-144 + 8x2 = 0

Solving for variable 'x'.

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

Add '144' to each side of the equation.
-144 + 144 + 8x2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 8x2 = 0 + 144
8x2 = 0 + 144

Combine like terms: 0 + 144 = 144
8x2 = 144

Divide each side by '8'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}