x^2+20+x^2+62=180

Solution for x^2+20+x^2+62=180 equation:

Simplifying
x2 + 20 + x2 + 62 = 180

Reorder the terms:
20 + 62 + x2 + x2 = 180

Combine like terms: 20 + 62 = 82
82 + x2 + x2 = 180

Combine like terms: x2 + x2 = 2x2
82 + 2x2 = 180

Solving
82 + 2x2 = 180

Solving for variable 'x'.

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

Add '-82' to each side of the equation.
82 + -82 + 2x2 = 180 + -82

Combine like terms: 82 + -82 = 0
0 + 2x2 = 180 + -82
2x2 = 180 + -82

Combine like terms: 180 + -82 = 98
2x2 = 98

Divide each side by '2'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}