2x^2-116=46

Solution for 2x^2-116=46 equation:

Simplifying
2x2 + -116 = 46

Reorder the terms:
-116 + 2x2 = 46

Solving
-116 + 2x2 = 46

Solving for variable 'x'.

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

Add '116' to each side of the equation.
-116 + 116 + 2x2 = 46 + 116

Combine like terms: -116 + 116 = 0
0 + 2x2 = 46 + 116
2x2 = 46 + 116

Combine like terms: 46 + 116 = 162
2x2 = 162

Divide each side by '2'.
x2 = 81

Simplifying
x2 = 81

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