2n^3+n^2+7n+1=(2n-1)*k

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Solution for 2n^3+n^2+7n+1=(2n-1)*k equation: 


Simplifying
2n3 + n2 + 7n + 1 = (2n + -1) * k

Reorder the terms:
1 + 7n + n2 + 2n3 = (2n + -1) * k

Reorder the terms:
1 + 7n + n2 + 2n3 = (-1 + 2n) * k

Reorder the terms for easier multiplication:
1 + 7n + n2 + 2n3 = k(-1 + 2n)
1 + 7n + n2 + 2n3 = (-1 * k + 2n * k)
1 + 7n + n2 + 2n3 = (-1k + 2kn)

Solving
1 + 7n + n2 + 2n3 = -1k + 2kn

Solving for variable 'n'.

Reorder the terms:
1 + k + -2kn + 7n + n2 + 2n3 = -1k + 2kn + k + -2kn

Reorder the terms:
1 + k + -2kn + 7n + n2 + 2n3 = -1k + k + 2kn + -2kn

Combine like terms: -1k + k = 0
1 + k + -2kn + 7n + n2 + 2n3 = 0 + 2kn + -2kn
1 + k + -2kn + 7n + n2 + 2n3 = 2kn + -2kn

Combine like terms: 2kn + -2kn = 0
1 + k + -2kn + 7n + n2 + 2n3 = 0

The solution to this equation could not be determined.

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