6(n^2-27)=0

Solution for 6(n^2-27)=0 equation:

Simplifying
6(n2 + -27) = 0

Reorder the terms:
6(-27 + n2) = 0
(-27 * 6 + n2 * 6) = 0
(-162 + 6n2) = 0

Solving
-162 + 6n2 = 0

Solving for variable 'n'.

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

Add '162' to each side of the equation.
-162 + 162 + 6n2 = 0 + 162

Combine like terms: -162 + 162 = 0
0 + 6n2 = 0 + 162
6n2 = 0 + 162

Combine like terms: 0 + 162 = 162
6n2 = 162

Divide each side by '6'.
n2 = 27

Simplifying
n2 = 27

Take the square root of each side:
n = {-5.196152423, 5.196152423}