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

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


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

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

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

Multiply (2 + 3k) * (5 + 3k)
k(2(5 + 3k) + 3k * (5 + 3k)) + (6k + 4) = 0
k((5 * 2 + 3k * 2) + 3k * (5 + 3k)) + (6k + 4) = 0
k((10 + 6k) + 3k * (5 + 3k)) + (6k + 4) = 0
k(10 + 6k + (5 * 3k + 3k * 3k)) + (6k + 4) = 0
k(10 + 6k + (15k + 9k2)) + (6k + 4) = 0

Combine like terms: 6k + 15k = 21k
k(10 + 21k + 9k2) + (6k + 4) = 0
(10 * k + 21k * k + 9k2 * k) + (6k + 4) = 0
(10k + 21k2 + 9k3) + (6k + 4) = 0

Reorder the terms:
10k + 21k2 + 9k3 + (4 + 6k) = 0

Remove parenthesis around (4 + 6k)
10k + 21k2 + 9k3 + 4 + 6k = 0

Reorder the terms:
4 + 10k + 6k + 21k2 + 9k3 = 0

Combine like terms: 10k + 6k = 16k
4 + 16k + 21k2 + 9k3 = 0

Solving
4 + 16k + 21k2 + 9k3 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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