n(n+4)+28=(n-1)x(n+8)

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Solution for n(n+4)+28=(n-1)x(n+8) equation: 


Simplifying
n(n + 4) + 28 = (n + -1) * x(n + 8)

Reorder the terms:
n(4 + n) + 28 = (n + -1) * x(n + 8)
(4 * n + n * n) + 28 = (n + -1) * x(n + 8)
(4n + n2) + 28 = (n + -1) * x(n + 8)

Reorder the terms:
28 + 4n + n2 = (n + -1) * x(n + 8)

Reorder the terms:
28 + 4n + n2 = (-1 + n) * x(n + 8)

Reorder the terms:
28 + 4n + n2 = (-1 + n) * x(8 + n)

Reorder the terms for easier multiplication:
28 + 4n + n2 = x(-1 + n)(8 + n)

Multiply (-1 + n) * (8 + n)
28 + 4n + n2 = x(-1(8 + n) + n(8 + n))
28 + 4n + n2 = x((8 * -1 + n * -1) + n(8 + n))
28 + 4n + n2 = x((-8 + -1n) + n(8 + n))
28 + 4n + n2 = x(-8 + -1n + (8 * n + n * n))
28 + 4n + n2 = x(-8 + -1n + (8n + n2))

Combine like terms: -1n + 8n = 7n
28 + 4n + n2 = x(-8 + 7n + n2)
28 + 4n + n2 = (-8 * x + 7n * x + n2 * x)

Reorder the terms:
28 + 4n + n2 = (7nx + n2x + -8x)
28 + 4n + n2 = (7nx + n2x + -8x)

Solving
28 + 4n + n2 = 7nx + n2x + -8x

Solving for variable 'n'.

Reorder the terms:
28 + 4n + -7nx + n2 + -1n2x + 8x = 7nx + n2x + -8x + -7nx + -1n2x + 8x

Reorder the terms:
28 + 4n + -7nx + n2 + -1n2x + 8x = 7nx + -7nx + n2x + -1n2x + -8x + 8x

Combine like terms: 7nx + -7nx = 0
28 + 4n + -7nx + n2 + -1n2x + 8x = 0 + n2x + -1n2x + -8x + 8x
28 + 4n + -7nx + n2 + -1n2x + 8x = n2x + -1n2x + -8x + 8x

Combine like terms: n2x + -1n2x = 0
28 + 4n + -7nx + n2 + -1n2x + 8x = 0 + -8x + 8x
28 + 4n + -7nx + n2 + -1n2x + 8x = -8x + 8x

Combine like terms: -8x + 8x = 0
28 + 4n + -7nx + n2 + -1n2x + 8x = 0

The solution to this equation could not be determined.

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