-c(6c-8k)-6c(3k-9)=

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Solution for -c(6c-8k)-6c(3k-9)= equation: 


Simplifying
-1c(6c + -8k) + -6c(3k + -9) = 0
(6c * -1c + -8k * -1c) + -6c(3k + -9) = 0

Reorder the terms:
(8ck + -6c2) + -6c(3k + -9) = 0
(8ck + -6c2) + -6c(3k + -9) = 0

Reorder the terms:
8ck + -6c2 + -6c(-9 + 3k) = 0
8ck + -6c2 + (-9 * -6c + 3k * -6c) = 0
8ck + -6c2 + (54c + -18ck) = 0

Reorder the terms:
54c + 8ck + -18ck + -6c2 = 0

Combine like terms: 8ck + -18ck = -10ck
54c + -10ck + -6c2 = 0

Solving
54c + -10ck + -6c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2c'.
2c(27 + -5k + -3c) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(27 + -5k + -3c)' equal to zero and attempt to solve:

Simplifying
27 + -5k + -3c = 0

Reorder the terms:
27 + -3c + -5k = 0

Solving
27 + -3c + -5k = 0

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

Add '-27' to each side of the equation.
27 + -3c + -27 + -5k = 0 + -27

Reorder the terms:
27 + -27 + -3c + -5k = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -3c + -5k = 0 + -27
-3c + -5k = 0 + -27

Combine like terms: 0 + -27 = -27
-3c + -5k = -27

Add '5k' to each side of the equation.
-3c + -5k + 5k = -27 + 5k

Combine like terms: -5k + 5k = 0
-3c + 0 = -27 + 5k
-3c = -27 + 5k

Divide each side by '-3'.
c = 9 + -1.666666667k

Simplifying
c = 9 + -1.666666667k
Solution
c = {0, 9 + -1.666666667k}

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