(n-7)(n-6)(n-5)=336

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Solution for (n-7)(n-6)(n-5)=336 equation:


Simplifying
(n + -7)(n + -6)(n + -5) = 336

Reorder the terms:
(-7 + n)(n + -6)(n + -5) = 336

Reorder the terms:
(-7 + n)(-6 + n)(n + -5) = 336

Reorder the terms:
(-7 + n)(-6 + n)(-5 + n) = 336

Multiply (-7 + n) * (-6 + n)
(-7(-6 + n) + n(-6 + n))(-5 + n) = 336
((-6 * -7 + n * -7) + n(-6 + n))(-5 + n) = 336
((42 + -7n) + n(-6 + n))(-5 + n) = 336
(42 + -7n + (-6 * n + n * n))(-5 + n) = 336
(42 + -7n + (-6n + n2))(-5 + n) = 336

Combine like terms: -7n + -6n = -13n
(42 + -13n + n2)(-5 + n) = 336

Multiply (42 + -13n + n2) * (-5 + n)
(42(-5 + n) + -13n * (-5 + n) + n2(-5 + n)) = 336
((-5 * 42 + n * 42) + -13n * (-5 + n) + n2(-5 + n)) = 336
((-210 + 42n) + -13n * (-5 + n) + n2(-5 + n)) = 336
(-210 + 42n + (-5 * -13n + n * -13n) + n2(-5 + n)) = 336
(-210 + 42n + (65n + -13n2) + n2(-5 + n)) = 336
(-210 + 42n + 65n + -13n2 + (-5 * n2 + n * n2)) = 336
(-210 + 42n + 65n + -13n2 + (-5n2 + n3)) = 336

Combine like terms: 42n + 65n = 107n
(-210 + 107n + -13n2 + -5n2 + n3) = 336

Combine like terms: -13n2 + -5n2 = -18n2
(-210 + 107n + -18n2 + n3) = 336

Solving
-210 + 107n + -18n2 + n3 = 336

Solving for variable 'n'.

Reorder the terms:
-210 + -336 + 107n + -18n2 + n3 = 336 + -336

Combine like terms: -210 + -336 = -546
-546 + 107n + -18n2 + n3 = 336 + -336

Combine like terms: 336 + -336 = 0
-546 + 107n + -18n2 + n3 = 0

The solution to this equation could not be determined.

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