n(n+1)(n-2)(n+4)=84

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Solution for n(n+1)(n-2)(n+4)=84 equation: 


Simplifying
n(n + 1)(n + -2)(n + 4) = 84

Reorder the terms:
n(1 + n)(n + -2)(n + 4) = 84

Reorder the terms:
n(1 + n)(-2 + n)(n + 4) = 84

Reorder the terms:
n(1 + n)(-2 + n)(4 + n) = 84

Multiply (1 + n) * (-2 + n)
n(1(-2 + n) + n(-2 + n))(4 + n) = 84
n((-2 * 1 + n * 1) + n(-2 + n))(4 + n) = 84
n((-2 + 1n) + n(-2 + n))(4 + n) = 84
n(-2 + 1n + (-2 * n + n * n))(4 + n) = 84
n(-2 + 1n + (-2n + n2))(4 + n) = 84

Combine like terms: 1n + -2n = -1n
n(-2 + -1n + n2)(4 + n) = 84

Multiply (-2 + -1n + n2) * (4 + n)
n(-2(4 + n) + -1n * (4 + n) + n2(4 + n)) = 84
n((4 * -2 + n * -2) + -1n * (4 + n) + n2(4 + n)) = 84
n((-8 + -2n) + -1n * (4 + n) + n2(4 + n)) = 84
n(-8 + -2n + (4 * -1n + n * -1n) + n2(4 + n)) = 84
n(-8 + -2n + (-4n + -1n2) + n2(4 + n)) = 84
n(-8 + -2n + -4n + -1n2 + (4 * n2 + n * n2)) = 84
n(-8 + -2n + -4n + -1n2 + (4n2 + n3)) = 84

Combine like terms: -2n + -4n = -6n
n(-8 + -6n + -1n2 + 4n2 + n3) = 84

Combine like terms: -1n2 + 4n2 = 3n2
n(-8 + -6n + 3n2 + n3) = 84
(-8 * n + -6n * n + 3n2 * n + n3 * n) = 84
(-8n + -6n2 + 3n3 + n4) = 84

Solving
-8n + -6n2 + 3n3 + n4 = 84

Solving for variable 'n'.

Reorder the terms:
-84 + -8n + -6n2 + 3n3 + n4 = 84 + -84

Combine like terms: 84 + -84 = 0
-84 + -8n + -6n2 + 3n3 + n4 = 0

The solution to this equation could not be determined.

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