56n^6+21n=0

Solution for 56n^6+21n=0 equation:

Simplifying
56n6 + 21n = 0

Reorder the terms:
21n + 56n6 = 0

Solving
21n + 56n6 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '7n'.
7n(3 + 8n5) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(3 + 8n5)' equal to zero and attempt to solve:

Simplifying
3 + 8n5 = 0

Solving
3 + 8n5 = 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 + 8n5 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8n5 = 0 + -3
8n5 = 0 + -3

Combine like terms: 0 + -3 = -3
8n5 = -3

Divide each side by '8'.
n5 = -0.375

Simplifying
n5 = -0.375

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}