2x^2+6-108=0

Solution for 2x^2+6-108=0 equation:

Simplifying
2x2 + 6 + -108 = 0

Reorder the terms:
6 + -108 + 2x2 = 0

Combine like terms: 6 + -108 = -102
-102 + 2x2 = 0

Solving
-102 + 2x2 = 0

Solving for variable 'x'.

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

Add '102' to each side of the equation.
-102 + 102 + 2x2 = 0 + 102

Combine like terms: -102 + 102 = 0
0 + 2x2 = 0 + 102
2x2 = 0 + 102

Combine like terms: 0 + 102 = 102
2x2 = 102

Divide each side by '2'.
x2 = 51

Simplifying
x2 = 51

Take the square root of each side:
x = {-7.141428429, 7.141428429}