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

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


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

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

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

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

Combine like terms: -40k + -30k = -70k
(40 + -70k + 30k2) = 0

Solving
40 + -70k + 30k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '10'.
10(4 + -7k + 3k2) = 0

Factor a trinomial.
10((1 + -1k)(4 + -3k)) = 0

Ignore the factor 10.

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 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 + -1k = 0 + -1

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

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

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

Simplifying
k = 1

Subproblem 2
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
Solution
k = {1, 1.333333333}

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