(x^2-10)+(x^2-98)=180

Solution for (x^2-10)+(x^2-98)=180 equation:

Simplifying
(x2 + -10) + (x2 + -98) = 180

Reorder the terms:
(-10 + x2) + (x2 + -98) = 180

Remove parenthesis around (-10 + x2)
-10 + x2 + (x2 + -98) = 180

Reorder the terms:
-10 + x2 + (-98 + x2) = 180

Remove parenthesis around (-98 + x2)
-10 + x2 + -98 + x2 = 180

Reorder the terms:
-10 + -98 + x2 + x2 = 180

Combine like terms: -10 + -98 = -108
-108 + x2 + x2 = 180

Combine like terms: x2 + x2 = 2x2
-108 + 2x2 = 180

Solving
-108 + 2x2 = 180

Solving for variable 'x'.

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

Add '108' to each side of the equation.
-108 + 108 + 2x2 = 180 + 108

Combine like terms: -108 + 108 = 0
0 + 2x2 = 180 + 108
2x2 = 180 + 108

Combine like terms: 180 + 108 = 288
2x2 = 288

Divide each side by '2'.
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}