2x^2-2=100

Solution for 2x^2-2=100 equation:

Simplifying
2x2 + -2 = 100

Reorder the terms:
-2 + 2x2 = 100

Solving
-2 + 2x2 = 100

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 2x2 = 100 + 2

Combine like terms: -2 + 2 = 0
0 + 2x2 = 100 + 2
2x2 = 100 + 2

Combine like terms: 100 + 2 = 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}