(x^2+4)+(x^2+4)=16

Solution for (x^2+4)+(x^2+4)=16 equation:

Simplifying
(x2 + 4) + (x2 + 4) = 16

Reorder the terms:
(4 + x2) + (x2 + 4) = 16

Remove parenthesis around (4 + x2)
4 + x2 + (x2 + 4) = 16

Reorder the terms:
4 + x2 + (4 + x2) = 16

Remove parenthesis around (4 + x2)
4 + x2 + 4 + x2 = 16

Reorder the terms:
4 + 4 + x2 + x2 = 16

Combine like terms: 4 + 4 = 8
8 + x2 + x2 = 16

Combine like terms: x2 + x2 = 2x2
8 + 2x2 = 16

Solving
8 + 2x2 = 16

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 2x2 = 16 + -8

Combine like terms: 8 + -8 = 0
0 + 2x2 = 16 + -8
2x2 = 16 + -8

Combine like terms: 16 + -8 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

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