x^2+(x^2+2)=100

Solution for x^2+(x^2+2)=100 equation:

Simplifying
x2 + (x2 + 2) = 100

Reorder the terms:
x2 + (2 + x2) = 100

Remove parenthesis around (2 + x2)
x2 + 2 + x2 = 100

Reorder the terms:
2 + x2 + x2 = 100

Combine like terms: x2 + x2 = 2x2
2 + 2x2 = 100

Solving
2 + 2x2 = 100

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x2 = 100 + -2

Combine like terms: 2 + -2 = 0
0 + 2x2 = 100 + -2
2x2 = 100 + -2

Combine like terms: 100 + -2 = 98
2x2 = 98

Divide each side by '2'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}