6n^3+n+5n^3=

Solution for 6n^3+n+5n^3= equation:

Simplifying
6n3 + n + 5n3 = 0

Reorder the terms:
n + 6n3 + 5n3 = 0

Combine like terms: 6n3 + 5n3 = 11n3
n + 11n3 = 0

Solving
n + 11n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(1 + 11n2) = 0

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 '(1 + 11n2)' equal to zero and attempt to solve:

Simplifying
1 + 11n2 = 0

Solving
1 + 11n2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 11n2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 11n2 = 0 + -1
11n2 = 0 + -1

Combine like terms: 0 + -1 = -1
11n2 = -1

Divide each side by '11'.
n2 = -0.09090909091

Simplifying
n2 = -0.09090909091

The solution to this equation could not be determined.

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