(4n-2)(4n-6)=

Solution for (4n-2)(4n-6)= equation:

Simplifying
(4n + -2)(4n + -6) = 0

Reorder the terms:
(-2 + 4n)(4n + -6) = 0

Reorder the terms:
(-2 + 4n)(-6 + 4n) = 0

Multiply (-2 + 4n) * (-6 + 4n)
(-2(-6 + 4n) + 4n * (-6 + 4n)) = 0
((-6 * -2 + 4n * -2) + 4n * (-6 + 4n)) = 0
((12 + -8n) + 4n * (-6 + 4n)) = 0
(12 + -8n + (-6 * 4n + 4n * 4n)) = 0
(12 + -8n + (-24n + 16n2)) = 0

Combine like terms: -8n + -24n = -32n
(12 + -32n + 16n2) = 0

Solving
12 + -32n + 16n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -8n + 4n2) = 0

Factor a trinomial.
4((1 + -2n)(3 + -2n)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -2n)' equal to zero and attempt to solve:

Simplifying
1 + -2n = 0

Solving
1 + -2n = 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 + -2n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = 0 + -1
-2n = 0 + -1

Combine like terms: 0 + -1 = -1
-2n = -1

Divide each side by '-2'.
n = 0.5

Simplifying
n = 0.5
Subproblem 2
Set the factor '(3 + -2n)' equal to zero and attempt to solve:

Simplifying
3 + -2n = 0

Solving
3 + -2n = 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 + -2n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2n = 0 + -3
-2n = 0 + -3

Combine like terms: 0 + -3 = -3
-2n = -3

Divide each side by '-2'.
n = 1.5

Simplifying
n = 1.5
Solution
n = {0.5, 1.5}