# 5n+6n^4+3n-8n^4+n=

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## Solution for 5n+6n^4+3n-8n^4+n= equation:

Simplifying
5n + 6n4 + 3n + -8n4 + n = 0

Reorder the terms:
5n + 3n + n + 6n4 + -8n4 = 0

Combine like terms: 5n + 3n = 8n
8n + n + 6n4 + -8n4 = 0

Combine like terms: 8n + n = 9n
9n + 6n4 + -8n4 = 0

Combine like terms: 6n4 + -8n4 = -2n4
9n + -2n4 = 0

Solving
9n + -2n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(9 + -2n3) = 0

Subproblem 1Set 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 2Set the factor '(9 + -2n3)' equal to zero and attempt to solve:

Simplifying
9 + -2n3 = 0

Solving
9 + -2n3 = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2n3 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2n3 = 0 + -9
-2n3 = 0 + -9

Combine like terms: 0 + -9 = -9
-2n3 = -9

Divide each side by '-2'.
n3 = 4.5

Simplifying
n3 = 4.5

The solution to this equation could not be determined.

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