(3k-5)(6k-8)=

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Solution for (3k-5)(6k-8)= equation: 


Simplifying
(3k + -5)(6k + -8) = 0

Reorder the terms:
(-5 + 3k)(6k + -8) = 0

Reorder the terms:
(-5 + 3k)(-8 + 6k) = 0

Multiply (-5 + 3k) * (-8 + 6k)
(-5(-8 + 6k) + 3k * (-8 + 6k)) = 0
((-8 * -5 + 6k * -5) + 3k * (-8 + 6k)) = 0
((40 + -30k) + 3k * (-8 + 6k)) = 0
(40 + -30k + (-8 * 3k + 6k * 3k)) = 0
(40 + -30k + (-24k + 18k2)) = 0

Combine like terms: -30k + -24k = -54k
(40 + -54k + 18k2) = 0

Solving
40 + -54k + 18k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -27k + 9k2) = 0

Factor a trinomial.
2((4 + -3k)(5 + -3k)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -3k)' equal to zero and attempt to solve:

Simplifying
4 + -3k = 0

Solving
4 + -3k = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3k = 0 + -4
-3k = 0 + -4

Combine like terms: 0 + -4 = -4
-3k = -4

Divide each side by '-3'.
k = 1.333333333

Simplifying
k = 1.333333333

Subproblem 2
Set the factor '(5 + -3k)' equal to zero and attempt to solve:

Simplifying
5 + -3k = 0

Solving
5 + -3k = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3k = 0 + -5
-3k = 0 + -5

Combine like terms: 0 + -5 = -5
-3k = -5

Divide each side by '-3'.
k = 1.666666667

Simplifying
k = 1.666666667
Solution
k = {1.333333333, 1.666666667}

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