(k+5)(4k-9)=

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Solution for (k+5)(4k-9)= equation: 


Simplifying
(k + 5)(4k + -9) = 0

Reorder the terms:
(5 + k)(4k + -9) = 0

Reorder the terms:
(5 + k)(-9 + 4k) = 0

Multiply (5 + k) * (-9 + 4k)
(5(-9 + 4k) + k(-9 + 4k)) = 0
((-9 * 5 + 4k * 5) + k(-9 + 4k)) = 0
((-45 + 20k) + k(-9 + 4k)) = 0
(-45 + 20k + (-9 * k + 4k * k)) = 0
(-45 + 20k + (-9k + 4k2)) = 0

Combine like terms: 20k + -9k = 11k
(-45 + 11k + 4k2) = 0

Solving
-45 + 11k + 4k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-5 + -1k)(9 + -4k) = 0


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

Simplifying
-5 + -1k = 0

Solving
-5 + -1k = 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 + -1k = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1k = 0 + 5
-1k = 0 + 5

Combine like terms: 0 + 5 = 5
-1k = 5

Divide each side by '-1'.
k = -5

Simplifying
k = -5

Subproblem 2
Set the factor '(9 + -4k)' equal to zero and attempt to solve:

Simplifying
9 + -4k = 0

Solving
9 + -4k = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4k = 0 + -9
-4k = 0 + -9

Combine like terms: 0 + -9 = -9
-4k = -9

Divide each side by '-4'.
k = 2.25

Simplifying
k = 2.25
Solution
k = {-5, 2.25}

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