x^2+x^2+1=313

Solution for x^2+x^2+1=313 equation:

Simplifying
x2 + x2 + 1 = 313

Reorder the terms:
1 + x2 + x2 = 313

Combine like terms: x2 + x2 = 2x2
1 + 2x2 = 313

Solving
1 + 2x2 = 313

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 = 313 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 313 + -1
2x2 = 313 + -1

Combine like terms: 313 + -1 = 312
2x2 = 312

Divide each side by '2'.
x2 = 156

Simplifying
x2 = 156

Take the square root of each side:
x = {-12.489995997, 12.489995997}