x^2+(x^2+3)=25

Solution for x^2+(x^2+3)=25 equation:

Simplifying
x2 + (x2 + 3) = 25

Reorder the terms:
x2 + (3 + x2) = 25

Remove parenthesis around (3 + x2)
x2 + 3 + x2 = 25

Reorder the terms:
3 + x2 + x2 = 25

Combine like terms: x2 + x2 = 2x2
3 + 2x2 = 25

Solving
3 + 2x2 = 25

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 2x2 = 25 + -3

Combine like terms: 3 + -3 = 0
0 + 2x2 = 25 + -3
2x2 = 25 + -3

Combine like terms: 25 + -3 = 22
2x2 = 22

Divide each side by '2'.
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}