(6x^2-54)-54=0

Solution for (6x^2-54)-54=0 equation:

Simplifying
(6x2 + -54) + -54 = 0

Reorder the terms:
(-54 + 6x2) + -54 = 0

Remove parenthesis around (-54 + 6x2)
-54 + 6x2 + -54 = 0

Reorder the terms:
-54 + -54 + 6x2 = 0

Combine like terms: -54 + -54 = -108
-108 + 6x2 = 0

Solving
-108 + 6x2 = 0

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 + 6x2 = 0 + 108

Combine like terms: -108 + 108 = 0
0 + 6x2 = 0 + 108
6x2 = 0 + 108

Combine like terms: 0 + 108 = 108
6x2 = 108

Divide each side by '6'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}