n^4=-6n^3

Solution for n^4=-6n^3 equation:

Simplifying
n4 = -6n3

Solving
n4 = -6n3

Solving for variable 'n'.

Reorder the terms:
6n3 + n4 = -6n3 + 6n3

Combine like terms: -6n3 + 6n3 = 0
6n3 + n4 = 0

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}