96=2x^2-6

Solution for 96=2x^2-6 equation:

Simplifying
96 = 2x2 + -6

Reorder the terms:
96 = -6 + 2x2

Solving
96 = -6 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
96 + -2x2 = -6 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
96 + -2x2 = -6 + 0
96 + -2x2 = -6

Add '-96' to each side of the equation.
96 + -96 + -2x2 = -6 + -96

Combine like terms: 96 + -96 = 0
0 + -2x2 = -6 + -96
-2x2 = -6 + -96

Combine like terms: -6 + -96 = -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}