6n^2-54=0

Solution for 6n^2-54=0 equation:

Simplifying
6n2 + -54 = 0

Reorder the terms:
-54 + 6n2 = 0

Solving
-54 + 6n2 = 0

Solving for variable 'n'.

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

Add '54' to each side of the equation.
-54 + 54 + 6n2 = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 6n2 = 0 + 54
6n2 = 0 + 54

Combine like terms: 0 + 54 = 54
6n2 = 54

Divide each side by '6'.
n2 = 9

Simplifying
n2 = 9

Take the square root of each side:
n = {-3, 3}