2x^2-62=100

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

Simplifying
2x2 + -62 = 100

Reorder the terms:
-62 + 2x2 = 100

Solving
-62 + 2x2 = 100

Solving for variable 'x'.

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

Add '62' to each side of the equation.
-62 + 62 + 2x2 = 100 + 62

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

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

Divide each side by '2'.
x2 = 81

Simplifying
x2 = 81

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