x^2+45+x^2+85=180

Solution for x^2+45+x^2+85=180 equation:

Simplifying
x2 + 45 + x2 + 85 = 180

Reorder the terms:
45 + 85 + x2 + x2 = 180

Combine like terms: 45 + 85 = 130
130 + x2 + x2 = 180

Combine like terms: x2 + x2 = 2x2
130 + 2x2 = 180

Solving
130 + 2x2 = 180

Solving for variable 'x'.

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

Add '-130' to each side of the equation.
130 + -130 + 2x2 = 180 + -130

Combine like terms: 130 + -130 = 0
0 + 2x2 = 180 + -130
2x2 = 180 + -130

Combine like terms: 180 + -130 = 50
2x2 = 50

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}