3d(5+9c)-3c(4-5d)=

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Solution for 3d(5+9c)-3c(4-5d)= equation: 


Simplifying
3d(5 + 9c) + -3c(4 + -5d) = 0
(5 * 3d + 9c * 3d) + -3c(4 + -5d) = 0

Reorder the terms:
(27cd + 15d) + -3c(4 + -5d) = 0
(27cd + 15d) + -3c(4 + -5d) = 0
27cd + 15d + (4 * -3c + -5d * -3c) = 0
27cd + 15d + (-12c + 15cd) = 0

Reorder the terms:
-12c + 27cd + 15cd + 15d = 0

Combine like terms: 27cd + 15cd = 42cd
-12c + 42cd + 15d = 0

Solving
-12c + 42cd + 15d = 0

Solving for variable 'c'.

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

Add '-15d' to each side of the equation.
-12c + 42cd + 15d + -15d = 0 + -15d

Combine like terms: 15d + -15d = 0
-12c + 42cd + 0 = 0 + -15d
-12c + 42cd = 0 + -15d
Remove the zero:
-12c + 42cd = -15d

Combine like terms: -15d + 15d = 0
-12c + 42cd + 15d = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4c + 14cd + 5d) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4c + 14cd + 5d)' equal to zero and attempt to solve:

Simplifying
-4c + 14cd + 5d = 0

Solving
-4c + 14cd + 5d = 0

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

Add '-5d' to each side of the equation.
-4c + 14cd + 5d + -5d = 0 + -5d

Combine like terms: 5d + -5d = 0
-4c + 14cd + 0 = 0 + -5d
-4c + 14cd = 0 + -5d
Remove the zero:
-4c + 14cd = -5d

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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