n^4+(6*n^3)=0

Solution for n^4+(6*n^3)=0 equation:

Simplifying
n4 + (6n3) = 0

Reorder the terms:
(6n3) + n4 = 0

Solving
(6n3) + n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n3'.
n3(6 + n) = 0

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 '(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
Solution
n = {-6}