24-6k=6k(4-k)

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Solution for 24-6k=6k(4-k) equation: 


Simplifying
24 + -6k = 6k(4 + -1k)
24 + -6k = (4 * 6k + -1k * 6k)
24 + -6k = (24k + -6k2)

Solving
24 + -6k = 24k + -6k2

Solving for variable 'k'.

Combine like terms: -6k + -24k = -30k
24 + -30k + 6k2 = 24k + -6k2 + -24k + 6k2

Reorder the terms:
24 + -30k + 6k2 = 24k + -24k + -6k2 + 6k2

Combine like terms: 24k + -24k = 0
24 + -30k + 6k2 = 0 + -6k2 + 6k2
24 + -30k + 6k2 = -6k2 + 6k2

Combine like terms: -6k2 + 6k2 = 0
24 + -30k + 6k2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -5k + k2) = 0

Factor a trinomial.
6((1 + -1k)(4 + -1k)) = 0

Ignore the factor 6.

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1k = 0 + -1

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

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

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

Simplifying
k = 1

Subproblem 2
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
Solution
k = {1, 4}

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