# 15n+3n^4-4n+12n^4+n=

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## Solution for 15n+3n^4-4n+12n^4+n= equation:

Simplifying
15n + 3n4 + -4n + 12n4 + n = 0

Reorder the terms:
15n + -4n + n + 3n4 + 12n4 = 0

Combine like terms: 15n + -4n = 11n
11n + n + 3n4 + 12n4 = 0

Combine like terms: 11n + n = 12n
12n + 3n4 + 12n4 = 0

Combine like terms: 3n4 + 12n4 = 15n4
12n + 15n4 = 0

Solving
12n + 15n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(4 + 5n3) = 0

Ignore the factor 3.
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 '(4 + 5n3)' equal to zero and attempt to solve:

Simplifying
4 + 5n3 = 0

Solving
4 + 5n3 = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5n3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5n3 = 0 + -4
5n3 = 0 + -4

Combine like terms: 0 + -4 = -4
5n3 = -4

Divide each side by '5'.
n3 = -0.8

Simplifying
n3 = -0.8

The solution to this equation could not be determined.

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