2(x^2-118)=6

Solution for 2(x^2-118)=6 equation:

Simplifying
2(x2 + -118) = 6

Reorder the terms:
2(-118 + x2) = 6
(-118 * 2 + x2 * 2) = 6
(-236 + 2x2) = 6

Solving
-236 + 2x2 = 6

Solving for variable 'x'.

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

Add '236' to each side of the equation.
-236 + 236 + 2x2 = 6 + 236

Combine like terms: -236 + 236 = 0
0 + 2x2 = 6 + 236
2x2 = 6 + 236

Combine like terms: 6 + 236 = 242
2x2 = 242

Divide each side by '2'.
x2 = 121

Simplifying
x2 = 121

Take the square root of each side:
x = {-11, 11}