g(n)=n^3-5n^2ifg(-4n)

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Solution for g(n)=n^3-5n^2ifg(-4n) equation: 


Simplifying
g(n) = n3 + -5n2ifg(-4n)

Multiply g * n
gn = n3 + -5n2ifg(-4n)

Remove parenthesis around (-4n)
gn = n3 + -5fgin2 * -4n

Reorder the terms for easier multiplication:
gn = n3 + -5 * -4fgin2 * n

Multiply -5 * -4
gn = n3 + 20fgin2 * n

Multiply fgin2 * n
gn = n3 + 20fgin3

Reorder the terms:
gn = 20fgin3 + n3

Solving
gn = 20fgin3 + n3

Solving for variable 'g'.

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

Add '-20fgin3' to each side of the equation.
-20fgin3 + gn = 20fgin3 + -20fgin3 + n3

Combine like terms: 20fgin3 + -20fgin3 = 0
-20fgin3 + gn = 0 + n3
-20fgin3 + gn = n3

Combine like terms: n3 + -1n3 = 0
-20fgin3 + gn + -1n3 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-20fgin2 + g + -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 g to the left, all other terms to the right.

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-20fgin2 + g + -1n2)' equal to zero and attempt to solve:

Simplifying
-20fgin2 + g + -1n2 = 0

Solving
-20fgin2 + g + -1n2 = 0

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

Add 'n2' to each side of the equation.
-20fgin2 + g + -1n2 + n2 = 0 + n2

Combine like terms: -1n2 + n2 = 0
-20fgin2 + g + 0 = 0 + n2
-20fgin2 + g = 0 + n2
Remove the zero:
-20fgin2 + g = n2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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