(2k+6)(2k+6)(2k+6)=

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Solution for (2k+6)(2k+6)(2k+6)= equation: 


Simplifying
(2k + 6)(2k + 6)(2k + 6) = 0

Reorder the terms:
(6 + 2k)(2k + 6)(2k + 6) = 0

Reorder the terms:
(6 + 2k)(6 + 2k)(2k + 6) = 0

Reorder the terms:
(6 + 2k)(6 + 2k)(6 + 2k) = 0

Multiply (6 + 2k) * (6 + 2k)
(6(6 + 2k) + 2k * (6 + 2k))(6 + 2k) = 0
((6 * 6 + 2k * 6) + 2k * (6 + 2k))(6 + 2k) = 0
((36 + 12k) + 2k * (6 + 2k))(6 + 2k) = 0
(36 + 12k + (6 * 2k + 2k * 2k))(6 + 2k) = 0
(36 + 12k + (12k + 4k2))(6 + 2k) = 0

Combine like terms: 12k + 12k = 24k
(36 + 24k + 4k2)(6 + 2k) = 0

Multiply (36 + 24k + 4k2) * (6 + 2k)
(36(6 + 2k) + 24k * (6 + 2k) + 4k2 * (6 + 2k)) = 0
((6 * 36 + 2k * 36) + 24k * (6 + 2k) + 4k2 * (6 + 2k)) = 0
((216 + 72k) + 24k * (6 + 2k) + 4k2 * (6 + 2k)) = 0
(216 + 72k + (6 * 24k + 2k * 24k) + 4k2 * (6 + 2k)) = 0
(216 + 72k + (144k + 48k2) + 4k2 * (6 + 2k)) = 0
(216 + 72k + 144k + 48k2 + (6 * 4k2 + 2k * 4k2)) = 0
(216 + 72k + 144k + 48k2 + (24k2 + 8k3)) = 0

Combine like terms: 72k + 144k = 216k
(216 + 216k + 48k2 + 24k2 + 8k3) = 0

Combine like terms: 48k2 + 24k2 = 72k2
(216 + 216k + 72k2 + 8k3) = 0

Solving
216 + 216k + 72k2 + 8k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '8'.
8(27 + 27k + 9k2 + k3) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(27 + 27k + 9k2 + k3)' equal to zero and attempt to solve:

Simplifying
27 + 27k + 9k2 + k3 = 0

Solving
27 + 27k + 9k2 + k3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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