4x^2-29+x^2-15+x^2+8=180

Solution for 4x^2-29+x^2-15+x^2+8=180 equation:

Simplifying
4x2 + -29 + x2 + -15 + x2 + 8 = 180

Reorder the terms:
-29 + -15 + 8 + 4x2 + x2 + x2 = 180

Combine like terms: -29 + -15 = -44
-44 + 8 + 4x2 + x2 + x2 = 180

Combine like terms: -44 + 8 = -36
-36 + 4x2 + x2 + x2 = 180

Combine like terms: 4x2 + x2 = 5x2
-36 + 5x2 + x2 = 180

Combine like terms: 5x2 + x2 = 6x2
-36 + 6x2 = 180

Solving
-36 + 6x2 = 180

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 6x2 = 180 + 36

Combine like terms: -36 + 36 = 0
0 + 6x2 = 180 + 36
6x2 = 180 + 36

Combine like terms: 180 + 36 = 216
6x2 = 216

Divide each side by '6'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}