(2n-2)(2n-6)=

Solution for (2n-2)(2n-6)= equation:

Simplifying
(2n + -2)(2n + -6) = 0

Reorder the terms:
(-2 + 2n)(2n + -6) = 0

Reorder the terms:
(-2 + 2n)(-6 + 2n) = 0

Multiply (-2 + 2n) * (-6 + 2n)
(-2(-6 + 2n) + 2n * (-6 + 2n)) = 0
((-6 * -2 + 2n * -2) + 2n * (-6 + 2n)) = 0
((12 + -4n) + 2n * (-6 + 2n)) = 0
(12 + -4n + (-6 * 2n + 2n * 2n)) = 0
(12 + -4n + (-12n + 4n2)) = 0

Combine like terms: -4n + -12n = -16n
(12 + -16n + 4n2) = 0

Solving
12 + -16n + 4n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -4n + n2) = 0

Factor a trinomial.
4((1 + -1n)(3 + -1n)) = 0

Ignore the factor 4.
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 '(3 + -1n)' equal to zero and attempt to solve:

Simplifying
3 + -1n = 0

Solving
3 + -1n = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = 0 + -3
-1n = 0 + -3

Combine like terms: 0 + -3 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3
Solution
n = {1, 3}