40=2x^2-32

Solution for 40=2x^2-32 equation:

Simplifying
40 = 2x2 + -32

Reorder the terms:
40 = -32 + 2x2

Solving
40 = -32 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
40 + -2x2 = -32 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
40 + -2x2 = -32 + 0
40 + -2x2 = -32

Add '-40' to each side of the equation.
40 + -40 + -2x2 = -32 + -40

Combine like terms: 40 + -40 = 0
0 + -2x2 = -32 + -40
-2x2 = -32 + -40

Combine like terms: -32 + -40 = -72
-2x2 = -72

Divide each side by '-2'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}