(4k+2)*(9k+6)*(16k-4)=150

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Solution for (4k+2)*(9k+6)*(16k-4)=150 equation: 


Simplifying
(4k + 2)(9k + 6)(16k + -4) = 150

Reorder the terms:
(2 + 4k)(9k + 6)(16k + -4) = 150

Reorder the terms:
(2 + 4k)(6 + 9k)(16k + -4) = 150

Reorder the terms:
(2 + 4k)(6 + 9k)(-4 + 16k) = 150

Multiply (2 + 4k) * (6 + 9k)
(2(6 + 9k) + 4k * (6 + 9k))(-4 + 16k) = 150
((6 * 2 + 9k * 2) + 4k * (6 + 9k))(-4 + 16k) = 150
((12 + 18k) + 4k * (6 + 9k))(-4 + 16k) = 150
(12 + 18k + (6 * 4k + 9k * 4k))(-4 + 16k) = 150
(12 + 18k + (24k + 36k2))(-4 + 16k) = 150

Combine like terms: 18k + 24k = 42k
(12 + 42k + 36k2)(-4 + 16k) = 150

Multiply (12 + 42k + 36k2) * (-4 + 16k)
(12(-4 + 16k) + 42k * (-4 + 16k) + 36k2 * (-4 + 16k)) = 150
((-4 * 12 + 16k * 12) + 42k * (-4 + 16k) + 36k2 * (-4 + 16k)) = 150
((-48 + 192k) + 42k * (-4 + 16k) + 36k2 * (-4 + 16k)) = 150
(-48 + 192k + (-4 * 42k + 16k * 42k) + 36k2 * (-4 + 16k)) = 150
(-48 + 192k + (-168k + 672k2) + 36k2 * (-4 + 16k)) = 150
(-48 + 192k + -168k + 672k2 + (-4 * 36k2 + 16k * 36k2)) = 150
(-48 + 192k + -168k + 672k2 + (-144k2 + 576k3)) = 150

Combine like terms: 192k + -168k = 24k
(-48 + 24k + 672k2 + -144k2 + 576k3) = 150

Combine like terms: 672k2 + -144k2 = 528k2
(-48 + 24k + 528k2 + 576k3) = 150

Solving
-48 + 24k + 528k2 + 576k3 = 150

Solving for variable 'k'.

Reorder the terms:
-48 + -150 + 24k + 528k2 + 576k3 = 150 + -150

Combine like terms: -48 + -150 = -198
-198 + 24k + 528k2 + 576k3 = 150 + -150

Combine like terms: 150 + -150 = 0
-198 + 24k + 528k2 + 576k3 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-33 + 4k + 88k2 + 96k3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-33 + 4k + 88k2 + 96k3)' equal to zero and attempt to solve:

Simplifying
-33 + 4k + 88k2 + 96k3 = 0

Solving
-33 + 4k + 88k2 + 96k3 = 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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