(6k+4)(3k+2)(3k+5)=0

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Solution for (6k+4)(3k+2)(3k+5)=0 equation: 


Simplifying
(6k + 4)(3k + 2)(3k + 5) = 0

Reorder the terms:
(4 + 6k)(3k + 2)(3k + 5) = 0

Reorder the terms:
(4 + 6k)(2 + 3k)(3k + 5) = 0

Reorder the terms:
(4 + 6k)(2 + 3k)(5 + 3k) = 0

Multiply (4 + 6k) * (2 + 3k)
(4(2 + 3k) + 6k * (2 + 3k))(5 + 3k) = 0
((2 * 4 + 3k * 4) + 6k * (2 + 3k))(5 + 3k) = 0
((8 + 12k) + 6k * (2 + 3k))(5 + 3k) = 0
(8 + 12k + (2 * 6k + 3k * 6k))(5 + 3k) = 0
(8 + 12k + (12k + 18k2))(5 + 3k) = 0

Combine like terms: 12k + 12k = 24k
(8 + 24k + 18k2)(5 + 3k) = 0

Multiply (8 + 24k + 18k2) * (5 + 3k)
(8(5 + 3k) + 24k * (5 + 3k) + 18k2 * (5 + 3k)) = 0
((5 * 8 + 3k * 8) + 24k * (5 + 3k) + 18k2 * (5 + 3k)) = 0
((40 + 24k) + 24k * (5 + 3k) + 18k2 * (5 + 3k)) = 0
(40 + 24k + (5 * 24k + 3k * 24k) + 18k2 * (5 + 3k)) = 0
(40 + 24k + (120k + 72k2) + 18k2 * (5 + 3k)) = 0
(40 + 24k + 120k + 72k2 + (5 * 18k2 + 3k * 18k2)) = 0
(40 + 24k + 120k + 72k2 + (90k2 + 54k3)) = 0

Combine like terms: 24k + 120k = 144k
(40 + 144k + 72k2 + 90k2 + 54k3) = 0

Combine like terms: 72k2 + 90k2 = 162k2
(40 + 144k + 162k2 + 54k3) = 0

Solving
40 + 144k + 162k2 + 54k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 72k + 81k2 + 27k3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(20 + 72k + 81k2 + 27k3)' equal to zero and attempt to solve:

Simplifying
20 + 72k + 81k2 + 27k3 = 0

Solving
20 + 72k + 81k2 + 27k3 = 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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