3(k-8)(k-3)=0

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Solution for 3(k-8)(k-3)=0 equation: 


Simplifying
3(k + -8)(k + -3) = 0

Reorder the terms:
3(-8 + k)(k + -3) = 0

Reorder the terms:
3(-8 + k)(-3 + k) = 0

Multiply (-8 + k) * (-3 + k)
3(-8(-3 + k) + k(-3 + k)) = 0
3((-3 * -8 + k * -8) + k(-3 + k)) = 0
3((24 + -8k) + k(-3 + k)) = 0
3(24 + -8k + (-3 * k + k * k)) = 0
3(24 + -8k + (-3k + k2)) = 0

Combine like terms: -8k + -3k = -11k
3(24 + -11k + k2) = 0
(24 * 3 + -11k * 3 + k2 * 3) = 0
(72 + -33k + 3k2) = 0

Solving
72 + -33k + 3k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -11k + k2) = 0

Factor a trinomial.
3((3 + -1k)(8 + -1k)) = 0

Ignore the factor 3.

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

Simplifying
3 + -1k = 0

Solving
3 + -1k = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1k = 0 + -3
-1k = 0 + -3

Combine like terms: 0 + -3 = -3
-1k = -3

Divide each side by '-1'.
k = 3

Simplifying
k = 3

Subproblem 2
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 = {3, 8}

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