n(n+7)+(n+8)=n^3+8n^2+7n^2+56n

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Solution for n(n+7)+(n+8)=n^3+8n^2+7n^2+56n equation: 


Simplifying
n(n + 7) + (n + 8) = n3 + 8n2 + 7n2 + 56n

Reorder the terms:
n(7 + n) + (n + 8) = n3 + 8n2 + 7n2 + 56n
(7 * n + n * n) + (n + 8) = n3 + 8n2 + 7n2 + 56n
(7n + n2) + (n + 8) = n3 + 8n2 + 7n2 + 56n

Reorder the terms:
7n + n2 + (8 + n) = n3 + 8n2 + 7n2 + 56n

Remove parenthesis around (8 + n)
7n + n2 + 8 + n = n3 + 8n2 + 7n2 + 56n

Reorder the terms:
8 + 7n + n + n2 = n3 + 8n2 + 7n2 + 56n

Combine like terms: 7n + n = 8n
8 + 8n + n2 = n3 + 8n2 + 7n2 + 56n

Reorder the terms:
8 + 8n + n2 = 56n + 8n2 + 7n2 + n3

Combine like terms: 8n2 + 7n2 = 15n2
8 + 8n + n2 = 56n + 15n2 + n3

Solving
8 + 8n + n2 = 56n + 15n2 + n3

Solving for variable 'n'.

Reorder the terms:
8 + 8n + -56n + n2 + -15n2 + -1n3 = 56n + 15n2 + n3 + -56n + -15n2 + -1n3

Combine like terms: 8n + -56n = -48n
8 + -48n + n2 + -15n2 + -1n3 = 56n + 15n2 + n3 + -56n + -15n2 + -1n3

Combine like terms: n2 + -15n2 = -14n2
8 + -48n + -14n2 + -1n3 = 56n + 15n2 + n3 + -56n + -15n2 + -1n3

Reorder the terms:
8 + -48n + -14n2 + -1n3 = 56n + -56n + 15n2 + -15n2 + n3 + -1n3

Combine like terms: 56n + -56n = 0
8 + -48n + -14n2 + -1n3 = 0 + 15n2 + -15n2 + n3 + -1n3
8 + -48n + -14n2 + -1n3 = 15n2 + -15n2 + n3 + -1n3

Combine like terms: 15n2 + -15n2 = 0
8 + -48n + -14n2 + -1n3 = 0 + n3 + -1n3
8 + -48n + -14n2 + -1n3 = n3 + -1n3

Combine like terms: n3 + -1n3 = 0
8 + -48n + -14n2 + -1n3 = 0

The solution to this equation could not be determined.

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