(3k^2-5k-2)(k^2+2k+4)=0

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


Simplifying
(3k2 + -5k + -2)(k2 + 2k + 4) = 0

Reorder the terms:
(-2 + -5k + 3k2)(k2 + 2k + 4) = 0

Reorder the terms:
(-2 + -5k + 3k2)(4 + 2k + k2) = 0

Multiply (-2 + -5k + 3k2) * (4 + 2k + k2)
(-2(4 + 2k + k2) + -5k * (4 + 2k + k2) + 3k2 * (4 + 2k + k2)) = 0
((4 * -2 + 2k * -2 + k2 * -2) + -5k * (4 + 2k + k2) + 3k2 * (4 + 2k + k2)) = 0
((-8 + -4k + -2k2) + -5k * (4 + 2k + k2) + 3k2 * (4 + 2k + k2)) = 0
(-8 + -4k + -2k2 + (4 * -5k + 2k * -5k + k2 * -5k) + 3k2 * (4 + 2k + k2)) = 0
(-8 + -4k + -2k2 + (-20k + -10k2 + -5k3) + 3k2 * (4 + 2k + k2)) = 0
(-8 + -4k + -2k2 + -20k + -10k2 + -5k3 + (4 * 3k2 + 2k * 3k2 + k2 * 3k2)) = 0
(-8 + -4k + -2k2 + -20k + -10k2 + -5k3 + (12k2 + 6k3 + 3k4)) = 0

Reorder the terms:
(-8 + -4k + -20k + -2k2 + -10k2 + 12k2 + -5k3 + 6k3 + 3k4) = 0

Combine like terms: -4k + -20k = -24k
(-8 + -24k + -2k2 + -10k2 + 12k2 + -5k3 + 6k3 + 3k4) = 0

Combine like terms: -2k2 + -10k2 = -12k2
(-8 + -24k + -12k2 + 12k2 + -5k3 + 6k3 + 3k4) = 0

Combine like terms: -12k2 + 12k2 = 0
(-8 + -24k + 0 + -5k3 + 6k3 + 3k4) = 0
(-8 + -24k + -5k3 + 6k3 + 3k4) = 0

Combine like terms: -5k3 + 6k3 = 1k3
(-8 + -24k + 1k3 + 3k4) = 0

Solving
-8 + -24k + 1k3 + 3k4 = 0

Solving for variable 'k'.

The solution to this equation could not be determined.

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