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

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


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

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

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

Multiply (-5 + 6k) * (-5 + 5k)
(-5(-5 + 5k) + 6k * (-5 + 5k)) = 0
((-5 * -5 + 5k * -5) + 6k * (-5 + 5k)) = 0
((25 + -25k) + 6k * (-5 + 5k)) = 0
(25 + -25k + (-5 * 6k + 5k * 6k)) = 0
(25 + -25k + (-30k + 30k2)) = 0

Combine like terms: -25k + -30k = -55k
(25 + -55k + 30k2) = 0

Solving
25 + -55k + 30k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + -11k + 6k2) = 0

Factor a trinomial.
5((5 + -6k)(1 + -1k)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(5 + -6k)' equal to zero and attempt to solve:

Simplifying
5 + -6k = 0

Solving
5 + -6k = 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 + -6k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6k = 0 + -5
-6k = 0 + -5

Combine like terms: 0 + -5 = -5
-6k = -5

Divide each side by '-6'.
k = 0.8333333333

Simplifying
k = 0.8333333333

Subproblem 2
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
Solution
k = {0.8333333333, 1}

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