(n-8)(n-9)(n-10)=1320

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Solution for (n-8)(n-9)(n-10)=1320 equation: 


Simplifying
(n + -8)(n + -9)(n + -10) = 1320

Reorder the terms:
(-8 + n)(n + -9)(n + -10) = 1320

Reorder the terms:
(-8 + n)(-9 + n)(n + -10) = 1320

Reorder the terms:
(-8 + n)(-9 + n)(-10 + n) = 1320

Multiply (-8 + n) * (-9 + n)
(-8(-9 + n) + n(-9 + n))(-10 + n) = 1320
((-9 * -8 + n * -8) + n(-9 + n))(-10 + n) = 1320
((72 + -8n) + n(-9 + n))(-10 + n) = 1320
(72 + -8n + (-9 * n + n * n))(-10 + n) = 1320
(72 + -8n + (-9n + n2))(-10 + n) = 1320

Combine like terms: -8n + -9n = -17n
(72 + -17n + n2)(-10 + n) = 1320

Multiply (72 + -17n + n2) * (-10 + n)
(72(-10 + n) + -17n * (-10 + n) + n2(-10 + n)) = 1320
((-10 * 72 + n * 72) + -17n * (-10 + n) + n2(-10 + n)) = 1320
((-720 + 72n) + -17n * (-10 + n) + n2(-10 + n)) = 1320
(-720 + 72n + (-10 * -17n + n * -17n) + n2(-10 + n)) = 1320
(-720 + 72n + (170n + -17n2) + n2(-10 + n)) = 1320
(-720 + 72n + 170n + -17n2 + (-10 * n2 + n * n2)) = 1320
(-720 + 72n + 170n + -17n2 + (-10n2 + n3)) = 1320

Combine like terms: 72n + 170n = 242n
(-720 + 242n + -17n2 + -10n2 + n3) = 1320

Combine like terms: -17n2 + -10n2 = -27n2
(-720 + 242n + -27n2 + n3) = 1320

Solving
-720 + 242n + -27n2 + n3 = 1320

Solving for variable 'n'.

Reorder the terms:
-720 + -1320 + 242n + -27n2 + n3 = 1320 + -1320

Combine like terms: -720 + -1320 = -2040
-2040 + 242n + -27n2 + n3 = 1320 + -1320

Combine like terms: 1320 + -1320 = 0
-2040 + 242n + -27n2 + n3 = 0

The solution to this equation could not be determined.

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