(n-1)(n-2)(n-3)=120

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Solution for (n-1)(n-2)(n-3)=120 equation: 


Simplifying
(n + -1)(n + -2)(n + -3) = 120

Reorder the terms:
(-1 + n)(n + -2)(n + -3) = 120

Reorder the terms:
(-1 + n)(-2 + n)(n + -3) = 120

Reorder the terms:
(-1 + n)(-2 + n)(-3 + n) = 120

Multiply (-1 + n) * (-2 + n)
(-1(-2 + n) + n(-2 + n))(-3 + n) = 120
((-2 * -1 + n * -1) + n(-2 + n))(-3 + n) = 120
((2 + -1n) + n(-2 + n))(-3 + n) = 120
(2 + -1n + (-2 * n + n * n))(-3 + n) = 120
(2 + -1n + (-2n + n2))(-3 + n) = 120

Combine like terms: -1n + -2n = -3n
(2 + -3n + n2)(-3 + n) = 120

Multiply (2 + -3n + n2) * (-3 + n)
(2(-3 + n) + -3n * (-3 + n) + n2(-3 + n)) = 120
((-3 * 2 + n * 2) + -3n * (-3 + n) + n2(-3 + n)) = 120
((-6 + 2n) + -3n * (-3 + n) + n2(-3 + n)) = 120
(-6 + 2n + (-3 * -3n + n * -3n) + n2(-3 + n)) = 120
(-6 + 2n + (9n + -3n2) + n2(-3 + n)) = 120
(-6 + 2n + 9n + -3n2 + (-3 * n2 + n * n2)) = 120
(-6 + 2n + 9n + -3n2 + (-3n2 + n3)) = 120

Combine like terms: 2n + 9n = 11n
(-6 + 11n + -3n2 + -3n2 + n3) = 120

Combine like terms: -3n2 + -3n2 = -6n2
(-6 + 11n + -6n2 + n3) = 120

Solving
-6 + 11n + -6n2 + n3 = 120

Solving for variable 'n'.

Reorder the terms:
-6 + -120 + 11n + -6n2 + n3 = 120 + -120

Combine like terms: -6 + -120 = -126
-126 + 11n + -6n2 + n3 = 120 + -120

Combine like terms: 120 + -120 = 0
-126 + 11n + -6n2 + n3 = 0

The solution to this equation could not be determined.

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