(n-5)(n-4)(n-6)=120

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Solution for (n-5)(n-4)(n-6)=120 equation: 


Simplifying
(n + -5)(n + -4)(n + -6) = 120

Reorder the terms:
(-5 + n)(n + -4)(n + -6) = 120

Reorder the terms:
(-5 + n)(-4 + n)(n + -6) = 120

Reorder the terms:
(-5 + n)(-4 + n)(-6 + n) = 120

Multiply (-5 + n) * (-4 + n)
(-5(-4 + n) + n(-4 + n))(-6 + n) = 120
((-4 * -5 + n * -5) + n(-4 + n))(-6 + n) = 120
((20 + -5n) + n(-4 + n))(-6 + n) = 120
(20 + -5n + (-4 * n + n * n))(-6 + n) = 120
(20 + -5n + (-4n + n2))(-6 + n) = 120

Combine like terms: -5n + -4n = -9n
(20 + -9n + n2)(-6 + n) = 120

Multiply (20 + -9n + n2) * (-6 + n)
(20(-6 + n) + -9n * (-6 + n) + n2(-6 + n)) = 120
((-6 * 20 + n * 20) + -9n * (-6 + n) + n2(-6 + n)) = 120
((-120 + 20n) + -9n * (-6 + n) + n2(-6 + n)) = 120
(-120 + 20n + (-6 * -9n + n * -9n) + n2(-6 + n)) = 120
(-120 + 20n + (54n + -9n2) + n2(-6 + n)) = 120
(-120 + 20n + 54n + -9n2 + (-6 * n2 + n * n2)) = 120
(-120 + 20n + 54n + -9n2 + (-6n2 + n3)) = 120

Combine like terms: 20n + 54n = 74n
(-120 + 74n + -9n2 + -6n2 + n3) = 120

Combine like terms: -9n2 + -6n2 = -15n2
(-120 + 74n + -15n2 + n3) = 120

Solving
-120 + 74n + -15n2 + n3 = 120

Solving for variable 'n'.

Reorder the terms:
-120 + -120 + 74n + -15n2 + n3 = 120 + -120

Combine like terms: -120 + -120 = -240
-240 + 74n + -15n2 + n3 = 120 + -120

Combine like terms: 120 + -120 = 0
-240 + 74n + -15n2 + n3 = 0

The solution to this equation could not be determined.

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