(6k-2)(5k-7)=

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Solution for (6k-2)(5k-7)= equation: 


Simplifying
(6k + -2)(5k + -7) = 0

Reorder the terms:
(-2 + 6k)(5k + -7) = 0

Reorder the terms:
(-2 + 6k)(-7 + 5k) = 0

Multiply (-2 + 6k) * (-7 + 5k)
(-2(-7 + 5k) + 6k * (-7 + 5k)) = 0
((-7 * -2 + 5k * -2) + 6k * (-7 + 5k)) = 0
((14 + -10k) + 6k * (-7 + 5k)) = 0
(14 + -10k + (-7 * 6k + 5k * 6k)) = 0
(14 + -10k + (-42k + 30k2)) = 0

Combine like terms: -10k + -42k = -52k
(14 + -52k + 30k2) = 0

Solving
14 + -52k + 30k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -26k + 15k2) = 0

Factor a trinomial.
2((1 + -3k)(7 + -5k)) = 0

Ignore the factor 2.

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

Simplifying
1 + -3k = 0

Solving
1 + -3k = 0

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

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

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

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

Divide each side by '-3'.
k = 0.3333333333

Simplifying
k = 0.3333333333

Subproblem 2
Set the factor '(7 + -5k)' equal to zero and attempt to solve:

Simplifying
7 + -5k = 0

Solving
7 + -5k = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5k = 0 + -7
-5k = 0 + -7

Combine like terms: 0 + -7 = -7
-5k = -7

Divide each side by '-5'.
k = 1.4

Simplifying
k = 1.4
Solution
k = {0.3333333333, 1.4}

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