2x^2-6=100

Solution for 2x^2-6=100 equation:

Simplifying
2x2 + -6 = 100

Reorder the terms:
-6 + 2x2 = 100

Solving
-6 + 2x2 = 100

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 = 100 + 6

Combine like terms: -6 + 6 = 0
0 + 2x2 = 100 + 6
2x2 = 100 + 6

Combine like terms: 100 + 6 = 106
2x2 = 106

Divide each side by '2'.
x2 = 53

Simplifying
x2 = 53

Take the square root of each side:
x = {-7.280109889, 7.280109889}