(4K-7)(8K-5)=

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Solution for (4K-7)(8K-5)= equation: 


Simplifying
(4K + -7)(8K + -5) = 0

Reorder the terms:
(-7 + 4K)(8K + -5) = 0

Reorder the terms:
(-7 + 4K)(-5 + 8K) = 0

Multiply (-7 + 4K) * (-5 + 8K)
(-7(-5 + 8K) + 4K * (-5 + 8K)) = 0
((-5 * -7 + 8K * -7) + 4K * (-5 + 8K)) = 0
((35 + -56K) + 4K * (-5 + 8K)) = 0
(35 + -56K + (-5 * 4K + 8K * 4K)) = 0
(35 + -56K + (-20K + 32K2)) = 0

Combine like terms: -56K + -20K = -76K
(35 + -76K + 32K2) = 0

Solving
35 + -76K + 32K2 = 0

Solving for variable 'K'.

Factor a trinomial.
(5 + -8K)(7 + -4K) = 0


Subproblem 1
Set the factor '(5 + -8K)' equal to zero and attempt to solve:

Simplifying
5 + -8K = 0

Solving
5 + -8K = 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 + -8K = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8K = 0 + -5
-8K = 0 + -5

Combine like terms: 0 + -5 = -5
-8K = -5

Divide each side by '-8'.
K = 0.625

Simplifying
K = 0.625

Subproblem 2
Set the factor '(7 + -4K)' equal to zero and attempt to solve:

Simplifying
7 + -4K = 0

Solving
7 + -4K = 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 + -4K = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4K = 0 + -7
-4K = 0 + -7

Combine like terms: 0 + -7 = -7
-4K = -7

Divide each side by '-4'.
K = 1.75

Simplifying
K = 1.75
Solution
K = {0.625, 1.75}

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