x^2+31+x^2=41

Solution for x^2+31+x^2=41 equation:

Simplifying
x2 + 31 + x2 = 41

Reorder the terms:
31 + x2 + x2 = 41

Combine like terms: x2 + x2 = 2x2
31 + 2x2 = 41

Solving
31 + 2x2 = 41

Solving for variable 'x'.

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

Add '-31' to each side of the equation.
31 + -31 + 2x2 = 41 + -31

Combine like terms: 31 + -31 = 0
0 + 2x2 = 41 + -31
2x2 = 41 + -31

Combine like terms: 41 + -31 = 10
2x2 = 10

Divide each side by '2'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}