2x^2-6=138

Solution for 2x^2-6=138 equation:

Simplifying
2x2 + -6 = 138

Reorder the terms:
-6 + 2x2 = 138

Solving
-6 + 2x2 = 138

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x2 = 138 + 6

Combine like terms: -6 + 6 = 0
0 + 2x2 = 138 + 6
2x2 = 138 + 6

Combine like terms: 138 + 6 = 144
2x2 = 144

Divide each side by '2'.
x2 = 72

Simplifying
x2 = 72

Take the square root of each side:
x = {-8.485281374, 8.485281374}