2(x^2+16)=40

Solution for 2(x^2+16)=40 equation:

Simplifying
2(x2 + 16) = 40

Reorder the terms:
2(16 + x2) = 40
(16 * 2 + x2 * 2) = 40
(32 + 2x2) = 40

Solving
32 + 2x2 = 40

Solving for variable 'x'.

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

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

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

Combine like terms: 40 + -32 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}