x^2+x^2+49=169

Solution for x^2+x^2+49=169 equation:

Simplifying
x2 + x2 + 49 = 169

Reorder the terms:
49 + x2 + x2 = 169

Combine like terms: x2 + x2 = 2x2
49 + 2x2 = 169

Solving
49 + 2x2 = 169

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 = 169 + -49

Combine like terms: 49 + -49 = 0
0 + 2x2 = 169 + -49
2x2 = 169 + -49

Combine like terms: 169 + -49 = 120
2x2 = 120

Divide each side by '2'.
x2 = 60

Simplifying
x2 = 60

Take the square root of each side:
x = {-7.745966692, 7.745966692}