7x^2-81+x^2-1+3x^2-13=180

Solution for 7x^2-81+x^2-1+3x^2-13=180 equation:

Simplifying
7x2 + -81 + x2 + -1 + 3x2 + -13 = 180

Reorder the terms:
-81 + -1 + -13 + 7x2 + x2 + 3x2 = 180

Combine like terms: -81 + -1 = -82
-82 + -13 + 7x2 + x2 + 3x2 = 180

Combine like terms: -82 + -13 = -95
-95 + 7x2 + x2 + 3x2 = 180

Combine like terms: 7x2 + x2 = 8x2
-95 + 8x2 + 3x2 = 180

Combine like terms: 8x2 + 3x2 = 11x2
-95 + 11x2 = 180

Solving
-95 + 11x2 = 180

Solving for variable 'x'.

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

Add '95' to each side of the equation.
-95 + 95 + 11x2 = 180 + 95

Combine like terms: -95 + 95 = 0
0 + 11x2 = 180 + 95
11x2 = 180 + 95

Combine like terms: 180 + 95 = 275
11x2 = 275

Divide each side by '11'.
x2 = 25

Simplifying
x2 = 25

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