(2n+4)(n+6)=

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

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

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

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

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

Combine like terms: 4n + 12n = 16n
(24 + 16n + 2n2) = 0

Solving
24 + 16n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 8n + n2) = 0

Factor a trinomial.
2((6 + n)(2 + n)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + n)' equal to zero and attempt to solve:

Simplifying
6 + n = 0

Solving
6 + n = 0

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

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

Combine like terms: 6 + -6 = 0
0 + n = 0 + -6
n = 0 + -6

Combine like terms: 0 + -6 = -6
n = -6

Simplifying
n = -6
Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

Add '-2' to each side of the equation.
2 + -2 + n = 0 + -2

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

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

Simplifying
n = -2
Solution
n = {-6, -2}