(k-8)(5k-4)=0

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Solution for (k-8)(5k-4)=0 equation: 


Simplifying
(k + -8)(5k + -4) = 0

Reorder the terms:
(-8 + k)(5k + -4) = 0

Reorder the terms:
(-8 + k)(-4 + 5k) = 0

Multiply (-8 + k) * (-4 + 5k)
(-8(-4 + 5k) + k(-4 + 5k)) = 0
((-4 * -8 + 5k * -8) + k(-4 + 5k)) = 0
((32 + -40k) + k(-4 + 5k)) = 0
(32 + -40k + (-4 * k + 5k * k)) = 0
(32 + -40k + (-4k + 5k2)) = 0

Combine like terms: -40k + -4k = -44k
(32 + -44k + 5k2) = 0

Solving
32 + -44k + 5k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(4 + -5k)(8 + -1k) = 0


Subproblem 1
Set the factor '(4 + -5k)' equal to zero and attempt to solve:

Simplifying
4 + -5k = 0

Solving
4 + -5k = 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 + -5k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5k = 0 + -4
-5k = 0 + -4

Combine like terms: 0 + -4 = -4
-5k = -4

Divide each side by '-5'.
k = 0.8

Simplifying
k = 0.8

Subproblem 2
Set the factor '(8 + -1k)' equal to zero and attempt to solve:

Simplifying
8 + -1k = 0

Solving
8 + -1k = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1k = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = 0 + -8
-1k = 0 + -8

Combine like terms: 0 + -8 = -8
-1k = -8

Divide each side by '-1'.
k = 8

Simplifying
k = 8
Solution
k = {0.8, 8}

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