(5k-4)(3k-7)=

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Solution for (5k-4)(3k-7)= equation: 


Simplifying
(5k + -4)(3k + -7) = 0

Reorder the terms:
(-4 + 5k)(3k + -7) = 0

Reorder the terms:
(-4 + 5k)(-7 + 3k) = 0

Multiply (-4 + 5k) * (-7 + 3k)
(-4(-7 + 3k) + 5k * (-7 + 3k)) = 0
((-7 * -4 + 3k * -4) + 5k * (-7 + 3k)) = 0
((28 + -12k) + 5k * (-7 + 3k)) = 0
(28 + -12k + (-7 * 5k + 3k * 5k)) = 0
(28 + -12k + (-35k + 15k2)) = 0

Combine like terms: -12k + -35k = -47k
(28 + -47k + 15k2) = 0

Solving
28 + -47k + 15k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(4 + -5k)(7 + -3k) = 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 '(7 + -3k)' equal to zero and attempt to solve:

Simplifying
7 + -3k = 0

Solving
7 + -3k = 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 + -3k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3k = 0 + -7
-3k = 0 + -7

Combine like terms: 0 + -7 = -7
-3k = -7

Divide each side by '-3'.
k = 2.333333333

Simplifying
k = 2.333333333
Solution
k = {0.8, 2.333333333}

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