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

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


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

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

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

Multiply (-5 + 5k) * (-4 + 2k)
(-5(-4 + 2k) + 5k * (-4 + 2k)) = 0
((-4 * -5 + 2k * -5) + 5k * (-4 + 2k)) = 0
((20 + -10k) + 5k * (-4 + 2k)) = 0
(20 + -10k + (-4 * 5k + 2k * 5k)) = 0
(20 + -10k + (-20k + 10k2)) = 0

Combine like terms: -10k + -20k = -30k
(20 + -30k + 10k2) = 0

Solving
20 + -30k + 10k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '10'.
10(2 + -3k + k2) = 0

Factor a trinomial.
10((1 + -1k)(2 + -1k)) = 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 '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 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 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {1, 2}

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