2x^2+32-114=0

Solution for 2x^2+32-114=0 equation:

Simplifying
2x2 + 32 + -114 = 0

Reorder the terms:
32 + -114 + 2x2 = 0

Combine like terms: 32 + -114 = -82
-82 + 2x2 = 0

Solving
-82 + 2x2 = 0

Solving for variable 'x'.

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

Add '82' to each side of the equation.
-82 + 82 + 2x2 = 0 + 82

Combine like terms: -82 + 82 = 0
0 + 2x2 = 0 + 82
2x2 = 0 + 82

Combine like terms: 0 + 82 = 82
2x2 = 82

Divide each side by '2'.
x2 = 41

Simplifying
x2 = 41

Take the square root of each side:
x = {-6.403124237, 6.403124237}