8n^3(2n+4)=

Solution for 8n^3(2n+4)= equation:

Simplifying
8n3(2n + 4) = 0

Reorder the terms:
8n3(4 + 2n) = 0
(4 * 8n3 + 2n * 8n3) = 0
(32n3 + 16n4) = 0

Solving
32n3 + 16n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '16n3'.
16n3(2 + n) = 0

Ignore the factor 16.
Subproblem 1
Set the factor 'n3' equal to zero and attempt to solve:

Simplifying
n3 = 0

Solving
n3 = 0

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

Simplifying
n3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
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 = {-2}