x^2+x^2+49=289

Solution for x^2+x^2+49=289 equation:

Simplifying
x2 + x2 + 49 = 289

Reorder the terms:
49 + x2 + x2 = 289

Combine like terms: x2 + x2 = 2x2
49 + 2x2 = 289

Solving
49 + 2x2 = 289

Solving for variable 'x'.

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

Add '-49' to each side of the equation.
49 + -49 + 2x2 = 289 + -49

Combine like terms: 49 + -49 = 0
0 + 2x2 = 289 + -49
2x2 = 289 + -49

Combine like terms: 289 + -49 = 240
2x2 = 240

Divide each side by '2'.
x2 = 120

Simplifying
x2 = 120

Take the square root of each side:
x = {-10.95445115, 10.95445115}