k(2k+9)(k-8)=0

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Solution for k(2k+9)(k-8)=0 equation: 


Simplifying
k(2k + 9)(k + -8) = 0

Reorder the terms:
k(9 + 2k)(k + -8) = 0

Reorder the terms:
k(9 + 2k)(-8 + k) = 0

Multiply (9 + 2k) * (-8 + k)
k(9(-8 + k) + 2k * (-8 + k)) = 0
k((-8 * 9 + k * 9) + 2k * (-8 + k)) = 0
k((-72 + 9k) + 2k * (-8 + k)) = 0
k(-72 + 9k + (-8 * 2k + k * 2k)) = 0
k(-72 + 9k + (-16k + 2k2)) = 0

Combine like terms: 9k + -16k = -7k
k(-72 + -7k + 2k2) = 0
(-72 * k + -7k * k + 2k2 * k) = 0
(-72k + -7k2 + 2k3) = 0

Solving
-72k + -7k2 + 2k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-72 + -7k + 2k2) = 0

Factor a trinomial.
k((-9 + -2k)(8 + -1k)) = 0


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 '(-9 + -2k)' equal to zero and attempt to solve:

Simplifying
-9 + -2k = 0

Solving
-9 + -2k = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2k = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2k = 0 + 9
-2k = 0 + 9

Combine like terms: 0 + 9 = 9
-2k = 9

Divide each side by '-2'.
k = -4.5

Simplifying
k = -4.5

Subproblem 3
Set the factor '(8 + -1k)' equal to zero and attempt to solve:

Simplifying
8 + -1k = 0

Solving
8 + -1k = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = 0 + -8
-1k = 0 + -8

Combine like terms: 0 + -8 = -8
-1k = -8

Divide each side by '-1'.
k = 8

Simplifying
k = 8
Solution
k = {0, -4.5, 8}

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