(6n-6)(6n-6)=

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

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

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

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

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

Combine like terms: -36n + -36n = -72n
(36 + -72n + 36n2) = 0

Solving
36 + -72n + 36n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '36'.
36(1 + -2n + n2) = 0

Factor a trinomial.
36((1 + -1n)(1 + -1n)) = 0

Ignore the factor 36.
Subproblem 1
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Solution
n = {1, 1}