(n-6)(n+6)=0

Solution for (n-6)(n+6)=0 equation:

Simplifying
(n + -6)(n + 6) = 0

Reorder the terms:
(-6 + n)(n + 6) = 0

Reorder the terms:
(-6 + n)(6 + n) = 0

Multiply (-6 + n) * (6 + n)
(-6(6 + n) + n(6 + n)) = 0
((6 * -6 + n * -6) + n(6 + n)) = 0
((-36 + -6n) + n(6 + n)) = 0
(-36 + -6n + (6 * n + n * n)) = 0
(-36 + -6n + (6n + n2)) = 0

Combine like terms: -6n + 6n = 0
(-36 + 0 + n2) = 0
(-36 + n2) = 0

Solving
-36 + n2 = 0

Solving for variable 'n'.

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

Add '36' to each side of the equation.
-36 + 36 + n2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + n2 = 0 + 36
n2 = 0 + 36

Combine like terms: 0 + 36 = 36
n2 = 36

Simplifying
n2 = 36

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