(3n+3)(3n+2)(3n+1)=16

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Solution for (3n+3)(3n+2)(3n+1)=16 equation: 


Simplifying
(3n + 3)(3n + 2)(3n + 1) = 16

Reorder the terms:
(3 + 3n)(3n + 2)(3n + 1) = 16

Reorder the terms:
(3 + 3n)(2 + 3n)(3n + 1) = 16

Reorder the terms:
(3 + 3n)(2 + 3n)(1 + 3n) = 16

Multiply (3 + 3n) * (2 + 3n)
(3(2 + 3n) + 3n * (2 + 3n))(1 + 3n) = 16
((2 * 3 + 3n * 3) + 3n * (2 + 3n))(1 + 3n) = 16
((6 + 9n) + 3n * (2 + 3n))(1 + 3n) = 16
(6 + 9n + (2 * 3n + 3n * 3n))(1 + 3n) = 16
(6 + 9n + (6n + 9n2))(1 + 3n) = 16

Combine like terms: 9n + 6n = 15n
(6 + 15n + 9n2)(1 + 3n) = 16

Multiply (6 + 15n + 9n2) * (1 + 3n)
(6(1 + 3n) + 15n * (1 + 3n) + 9n2 * (1 + 3n)) = 16
((1 * 6 + 3n * 6) + 15n * (1 + 3n) + 9n2 * (1 + 3n)) = 16
((6 + 18n) + 15n * (1 + 3n) + 9n2 * (1 + 3n)) = 16
(6 + 18n + (1 * 15n + 3n * 15n) + 9n2 * (1 + 3n)) = 16
(6 + 18n + (15n + 45n2) + 9n2 * (1 + 3n)) = 16
(6 + 18n + 15n + 45n2 + (1 * 9n2 + 3n * 9n2)) = 16
(6 + 18n + 15n + 45n2 + (9n2 + 27n3)) = 16

Combine like terms: 18n + 15n = 33n
(6 + 33n + 45n2 + 9n2 + 27n3) = 16

Combine like terms: 45n2 + 9n2 = 54n2
(6 + 33n + 54n2 + 27n3) = 16

Solving
6 + 33n + 54n2 + 27n3 = 16

Solving for variable 'n'.

Reorder the terms:
6 + -16 + 33n + 54n2 + 27n3 = 16 + -16

Combine like terms: 6 + -16 = -10
-10 + 33n + 54n2 + 27n3 = 16 + -16

Combine like terms: 16 + -16 = 0
-10 + 33n + 54n2 + 27n3 = 0

The solution to this equation could not be determined.

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