2(x^2-8)=32

Solution for 2(x^2-8)=32 equation:

Simplifying
2(x2 + -8) = 32

Reorder the terms:
2(-8 + x2) = 32
(-8 * 2 + x2 * 2) = 32
(-16 + 2x2) = 32

Solving
-16 + 2x2 = 32

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 2x2 = 32 + 16

Combine like terms: -16 + 16 = 0
0 + 2x2 = 32 + 16
2x2 = 32 + 16

Combine like terms: 32 + 16 = 48
2x2 = 48

Divide each side by '2'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}