(6n+24)=n*(n-1)*(n-2)+600

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Solution for (6n+24)=n*(n-1)*(n-2)+600 equation: 


Simplifying
(6n + 24) = n(n + -1)(n + -2) + 600

Reorder the terms:
(24 + 6n) = n(n + -1)(n + -2) + 600

Remove parenthesis around (24 + 6n)
24 + 6n = n(n + -1)(n + -2) + 600

Reorder the terms:
24 + 6n = n(-1 + n)(n + -2) + 600

Reorder the terms:
24 + 6n = n(-1 + n)(-2 + n) + 600

Multiply (-1 + n) * (-2 + n)
24 + 6n = n(-1(-2 + n) + n(-2 + n)) + 600
24 + 6n = n((-2 * -1 + n * -1) + n(-2 + n)) + 600
24 + 6n = n((2 + -1n) + n(-2 + n)) + 600
24 + 6n = n(2 + -1n + (-2 * n + n * n)) + 600
24 + 6n = n(2 + -1n + (-2n + n2)) + 600

Combine like terms: -1n + -2n = -3n
24 + 6n = n(2 + -3n + n2) + 600
24 + 6n = (2 * n + -3n * n + n2 * n) + 600
24 + 6n = (2n + -3n2 + n3) + 600

Reorder the terms:
24 + 6n = 600 + 2n + -3n2 + n3

Solving
24 + 6n = 600 + 2n + -3n2 + n3

Solving for variable 'n'.

Reorder the terms:
24 + -600 + 6n + -2n + 3n2 + -1n3 = 600 + 2n + -3n2 + n3 + -600 + -2n + 3n2 + -1n3

Combine like terms: 24 + -600 = -576
-576 + 6n + -2n + 3n2 + -1n3 = 600 + 2n + -3n2 + n3 + -600 + -2n + 3n2 + -1n3

Combine like terms: 6n + -2n = 4n
-576 + 4n + 3n2 + -1n3 = 600 + 2n + -3n2 + n3 + -600 + -2n + 3n2 + -1n3

Reorder the terms:
-576 + 4n + 3n2 + -1n3 = 600 + -600 + 2n + -2n + -3n2 + 3n2 + n3 + -1n3

Combine like terms: 600 + -600 = 0
-576 + 4n + 3n2 + -1n3 = 0 + 2n + -2n + -3n2 + 3n2 + n3 + -1n3
-576 + 4n + 3n2 + -1n3 = 2n + -2n + -3n2 + 3n2 + n3 + -1n3

Combine like terms: 2n + -2n = 0
-576 + 4n + 3n2 + -1n3 = 0 + -3n2 + 3n2 + n3 + -1n3
-576 + 4n + 3n2 + -1n3 = -3n2 + 3n2 + n3 + -1n3

Combine like terms: -3n2 + 3n2 = 0
-576 + 4n + 3n2 + -1n3 = 0 + n3 + -1n3
-576 + 4n + 3n2 + -1n3 = n3 + -1n3

Combine like terms: n3 + -1n3 = 0
-576 + 4n + 3n2 + -1n3 = 0

The solution to this equation could not be determined.

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