(3k-5)(k+8)=0

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Solution for (3k-5)(k+8)=0 equation: 


Simplifying
(3k + -5)(k + 8) = 0

Reorder the terms:
(-5 + 3k)(k + 8) = 0

Reorder the terms:
(-5 + 3k)(8 + k) = 0

Multiply (-5 + 3k) * (8 + k)
(-5(8 + k) + 3k * (8 + k)) = 0
((8 * -5 + k * -5) + 3k * (8 + k)) = 0
((-40 + -5k) + 3k * (8 + k)) = 0
(-40 + -5k + (8 * 3k + k * 3k)) = 0
(-40 + -5k + (24k + 3k2)) = 0

Combine like terms: -5k + 24k = 19k
(-40 + 19k + 3k2) = 0

Solving
-40 + 19k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-8 + -1k)(5 + -3k) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -3k)' equal to zero and attempt to solve:

Simplifying
5 + -3k = 0

Solving
5 + -3k = 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 + -3k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3k = 0 + -5
-3k = 0 + -5

Combine like terms: 0 + -5 = -5
-3k = -5

Divide each side by '-3'.
k = 1.666666667

Simplifying
k = 1.666666667
Solution
k = {-8, 1.666666667}

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