x^2+(x^2+1)=481

Solution for x^2+(x^2+1)=481 equation:

Simplifying
x2 + (x2 + 1) = 481

Reorder the terms:
x2 + (1 + x2) = 481

Remove parenthesis around (1 + x2)
x2 + 1 + x2 = 481

Reorder the terms:
1 + x2 + x2 = 481

Combine like terms: x2 + x2 = 2x2
1 + 2x2 = 481

Solving
1 + 2x2 = 481

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 2x2 = 481 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 481 + -1
2x2 = 481 + -1

Combine like terms: 481 + -1 = 480
2x2 = 480

Divide each side by '2'.
x2 = 240

Simplifying
x2 = 240

Take the square root of each side:
x = {-15.491933385, 15.491933385}