2x^2-62-100=0

Solution for 2x^2-62-100=0 equation:

Simplifying
2x2 + -62 + -100 = 0

Reorder the terms:
-62 + -100 + 2x2 = 0

Combine like terms: -62 + -100 = -162
-162 + 2x2 = 0

Solving
-162 + 2x2 = 0

Solving for variable 'x'.

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

Add '162' to each side of the equation.
-162 + 162 + 2x2 = 0 + 162

Combine like terms: -162 + 162 = 0
0 + 2x2 = 0 + 162
2x2 = 0 + 162

Combine like terms: 0 + 162 = 162
2x2 = 162

Divide each side by '2'.
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}