3x^2+54+x^2-130=180

Solution for 3x^2+54+x^2-130=180 equation:

Simplifying
3x2 + 54 + x2 + -130 = 180

Reorder the terms:
54 + -130 + 3x2 + x2 = 180

Combine like terms: 54 + -130 = -76
-76 + 3x2 + x2 = 180

Combine like terms: 3x2 + x2 = 4x2
-76 + 4x2 = 180

Solving
-76 + 4x2 = 180

Solving for variable 'x'.

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

Add '76' to each side of the equation.
-76 + 76 + 4x2 = 180 + 76

Combine like terms: -76 + 76 = 0
0 + 4x2 = 180 + 76
4x2 = 180 + 76

Combine like terms: 180 + 76 = 256
4x2 = 256

Divide each side by '4'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}