(6k-4)(5k-2)=

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Solution for (6k-4)(5k-2)= equation: 


Simplifying
(6k + -4)(5k + -2) = 0

Reorder the terms:
(-4 + 6k)(5k + -2) = 0

Reorder the terms:
(-4 + 6k)(-2 + 5k) = 0

Multiply (-4 + 6k) * (-2 + 5k)
(-4(-2 + 5k) + 6k * (-2 + 5k)) = 0
((-2 * -4 + 5k * -4) + 6k * (-2 + 5k)) = 0
((8 + -20k) + 6k * (-2 + 5k)) = 0
(8 + -20k + (-2 * 6k + 5k * 6k)) = 0
(8 + -20k + (-12k + 30k2)) = 0

Combine like terms: -20k + -12k = -32k
(8 + -32k + 30k2) = 0

Solving
8 + -32k + 30k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -16k + 15k2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -5k)' equal to zero and attempt to solve:

Simplifying
2 + -5k = 0

Solving
2 + -5k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5k = 0 + -2
-5k = 0 + -2

Combine like terms: 0 + -2 = -2
-5k = -2

Divide each side by '-5'.
k = 0.4

Simplifying
k = 0.4

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

Simplifying
2 + -3k = 0

Solving
2 + -3k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3k = 0 + -2

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

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

Divide each side by '-3'.
k = 0.6666666667

Simplifying
k = 0.6666666667
Solution
k = {0.4, 0.6666666667}

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