=5n(3n^3-n^2+8)

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Solution for =5n(3n^3-n^2+8) equation: 


Simplifying
0 = 5n(3n3 + -1n2 + 8)

Reorder the terms:
0 = 5n(8 + -1n2 + 3n3)
0 = (8 * 5n + -1n2 * 5n + 3n3 * 5n)
0 = (40n + -5n3 + 15n4)

Solving
0 = 40n + -5n3 + 15n4

Solving for variable 'n'.
Remove the zero:
-40n + 5n3 + -15n4 = 40n + -5n3 + 15n4 + -40n + 5n3 + -15n4

Reorder the terms:
-40n + 5n3 + -15n4 = 40n + -40n + -5n3 + 5n3 + 15n4 + -15n4

Combine like terms: 40n + -40n = 0
-40n + 5n3 + -15n4 = 0 + -5n3 + 5n3 + 15n4 + -15n4
-40n + 5n3 + -15n4 = -5n3 + 5n3 + 15n4 + -15n4

Combine like terms: -5n3 + 5n3 = 0
-40n + 5n3 + -15n4 = 0 + 15n4 + -15n4
-40n + 5n3 + -15n4 = 15n4 + -15n4

Combine like terms: 15n4 + -15n4 = 0
-40n + 5n3 + -15n4 = 0

Factor out the Greatest Common Factor (GCF), '5n'.
5n(-8 + n2 + -3n3) = 0

Ignore the factor 5.

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 '(-8 + n2 + -3n3)' equal to zero and attempt to solve:

Simplifying
-8 + n2 + -3n3 = 0

Solving
-8 + n2 + -3n3 = 0

The solution to this equation could not be determined.

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

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