k(k-9)-4(k-9)=

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


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

Reorder the terms:
k(-9 + k) + -4(k + -9) = 0
(-9 * k + k * k) + -4(k + -9) = 0
(-9k + k2) + -4(k + -9) = 0

Reorder the terms:
-9k + k2 + -4(-9 + k) = 0
-9k + k2 + (-9 * -4 + k * -4) = 0
-9k + k2 + (36 + -4k) = 0

Reorder the terms:
36 + -9k + -4k + k2 = 0

Combine like terms: -9k + -4k = -13k
36 + -13k + k2 = 0

Solving
36 + -13k + k2 = 0

Solving for variable 'k'.

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


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

Simplifying
4 + -1k = 0

Solving
4 + -1k = 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 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4

Subproblem 2
Set the factor '(9 + -1k)' equal to zero and attempt to solve:

Simplifying
9 + -1k = 0

Solving
9 + -1k = 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 + -1k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1k = 0 + -9
-1k = 0 + -9

Combine like terms: 0 + -9 = -9
-1k = -9

Divide each side by '-1'.
k = 9

Simplifying
k = 9
Solution
k = {4, 9}

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