(2k+17)(3k-9)(k-3)k=

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Solution for (2k+17)(3k-9)(k-3)k= equation: 


Simplifying
(2k + 17)(3k + -9)(k + -3) * k = 0

Reorder the terms:
(17 + 2k)(3k + -9)(k + -3) * k = 0

Reorder the terms:
(17 + 2k)(-9 + 3k)(k + -3) * k = 0

Reorder the terms:
(17 + 2k)(-9 + 3k)(-3 + k) * k = 0

Reorder the terms for easier multiplication:
k(17 + 2k)(-9 + 3k)(-3 + k) = 0

Multiply (17 + 2k) * (-9 + 3k)
k(17(-9 + 3k) + 2k * (-9 + 3k))(-3 + k) = 0
k((-9 * 17 + 3k * 17) + 2k * (-9 + 3k))(-3 + k) = 0
k((-153 + 51k) + 2k * (-9 + 3k))(-3 + k) = 0
k(-153 + 51k + (-9 * 2k + 3k * 2k))(-3 + k) = 0
k(-153 + 51k + (-18k + 6k2))(-3 + k) = 0

Combine like terms: 51k + -18k = 33k
k(-153 + 33k + 6k2)(-3 + k) = 0

Multiply (-153 + 33k + 6k2) * (-3 + k)
k(-153(-3 + k) + 33k * (-3 + k) + 6k2 * (-3 + k)) = 0
k((-3 * -153 + k * -153) + 33k * (-3 + k) + 6k2 * (-3 + k)) = 0
k((459 + -153k) + 33k * (-3 + k) + 6k2 * (-3 + k)) = 0
k(459 + -153k + (-3 * 33k + k * 33k) + 6k2 * (-3 + k)) = 0
k(459 + -153k + (-99k + 33k2) + 6k2 * (-3 + k)) = 0
k(459 + -153k + -99k + 33k2 + (-3 * 6k2 + k * 6k2)) = 0
k(459 + -153k + -99k + 33k2 + (-18k2 + 6k3)) = 0

Combine like terms: -153k + -99k = -252k
k(459 + -252k + 33k2 + -18k2 + 6k3) = 0

Combine like terms: 33k2 + -18k2 = 15k2
k(459 + -252k + 15k2 + 6k3) = 0
(459 * k + -252k * k + 15k2 * k + 6k3 * k) = 0
(459k + -252k2 + 15k3 + 6k4) = 0

Solving
459k + -252k2 + 15k3 + 6k4 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3k'.
3k(153 + -84k + 5k2 + 2k3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

Move all terms containing k to the left, all other terms to the right.

Simplifying
k = 0

Subproblem 2
Set the factor '(153 + -84k + 5k2 + 2k3)' equal to zero and attempt to solve:

Simplifying
153 + -84k + 5k2 + 2k3 = 0

Solving
153 + -84k + 5k2 + 2k3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
k = {0}

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