M(n)=n^3+5n^2

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


Simplifying
M(n) = n3 + 5n2

Multiply M * n
nM = n3 + 5n2

Reorder the terms:
nM = 5n2 + n3

Solving
nM = 5n2 + n3

Solving for variable 'n'.

Reorder the terms:
nM + -5n2 + -1n3 = 5n2 + -5n2 + n3 + -1n3

Combine like terms: 5n2 + -5n2 = 0
nM + -5n2 + -1n3 = 0 + n3 + -1n3
nM + -5n2 + -1n3 = n3 + -1n3

Combine like terms: n3 + -1n3 = 0
nM + -5n2 + -1n3 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(M + -5n + -1n2) = 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 '(M + -5n + -1n2)' equal to zero and attempt to solve:

Simplifying
M + -5n + -1n2 = 0

Solving
M + -5n + -1n2 = 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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