8x^2-11+6x^2+7=180

Solution for 8x^2-11+6x^2+7=180 equation:

Simplifying
8x2 + -11 + 6x2 + 7 = 180

Reorder the terms:
-11 + 7 + 8x2 + 6x2 = 180

Combine like terms: -11 + 7 = -4
-4 + 8x2 + 6x2 = 180

Combine like terms: 8x2 + 6x2 = 14x2
-4 + 14x2 = 180

Solving
-4 + 14x2 = 180

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 14x2 = 180 + 4

Combine like terms: -4 + 4 = 0
0 + 14x2 = 180 + 4
14x2 = 180 + 4

Combine like terms: 180 + 4 = 184
14x2 = 184

Divide each side by '14'.
x2 = 13.14285714

Simplifying
x2 = 13.14285714

Take the square root of each side:
x = {-3.625307868, 3.625307868}