N*n*n*n+5=17

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Solution for N*n*n*n+5=17 equation: 


Simplifying
N * n * n * n + 5 = 17

Multiply N * n
nN * n * n + 5 = 17

Multiply nN * n
n2N * n + 5 = 17

Multiply n2N * n
n3N + 5 = 17

Reorder the terms:
5 + n3N = 17

Solving
5 + n3N = 17

Solving for variable 'n'.

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

Add '-5' to each side of the equation.
5 + -5 + n3N = 17 + -5

Combine like terms: 5 + -5 = 0
0 + n3N = 17 + -5
n3N = 17 + -5

Combine like terms: 17 + -5 = 12
n3N = 12

Divide each side by 'N'.
n3 = 12N-1

Simplifying
n3 = 12N-1

Reorder the terms:
-12N-1 + n3 = 12N-1 + -12N-1

Combine like terms: 12N-1 + -12N-1 = 0
-12N-1 + n3 = 0

Factor out the Greatest Common Factor (GCF), 'N-1'.
N-1(-12 + n3N) = 0


Subproblem 1
Set the factor 'N-1' equal to zero and attempt to solve:

Simplifying
N-1 = 0

Solving
N-1 = 0

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

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

Simplifying
0 = -1N-1

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 '(-12 + n3N)' equal to zero and attempt to solve:

Simplifying
-12 + n3N = 0

Solving
-12 + n3N = 0

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

Add '12' to each side of the equation.
-12 + 12 + n3N = 0 + 12

Combine like terms: -12 + 12 = 0
0 + n3N = 0 + 12
n3N = 0 + 12

Combine like terms: 0 + 12 = 12
n3N = 12

Divide each side by 'N'.
n3 = 12N-1

Simplifying
n3 = 12N-1

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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