(6k-9)(5k-8)=

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Solution for (6k-9)(5k-8)= equation: 


Simplifying
(6k + -9)(5k + -8) = 0

Reorder the terms:
(-9 + 6k)(5k + -8) = 0

Reorder the terms:
(-9 + 6k)(-8 + 5k) = 0

Multiply (-9 + 6k) * (-8 + 5k)
(-9(-8 + 5k) + 6k * (-8 + 5k)) = 0
((-8 * -9 + 5k * -9) + 6k * (-8 + 5k)) = 0
((72 + -45k) + 6k * (-8 + 5k)) = 0
(72 + -45k + (-8 * 6k + 5k * 6k)) = 0
(72 + -45k + (-48k + 30k2)) = 0

Combine like terms: -45k + -48k = -93k
(72 + -93k + 30k2) = 0

Solving
72 + -93k + 30k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -31k + 10k2) = 0

Factor a trinomial.
3((3 + -2k)(8 + -5k)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(3 + -2k)' equal to zero and attempt to solve:

Simplifying
3 + -2k = 0

Solving
3 + -2k = 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 + -2k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2k = 0 + -3
-2k = 0 + -3

Combine like terms: 0 + -3 = -3
-2k = -3

Divide each side by '-2'.
k = 1.5

Simplifying
k = 1.5

Subproblem 2
Set the factor '(8 + -5k)' equal to zero and attempt to solve:

Simplifying
8 + -5k = 0

Solving
8 + -5k = 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 + -5k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5k = 0 + -8
-5k = 0 + -8

Combine like terms: 0 + -8 = -8
-5k = -8

Divide each side by '-5'.
k = 1.6

Simplifying
k = 1.6
Solution
k = {1.5, 1.6}

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