5(2c+7cd)-3c(9-4d)=

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Solution for 5(2c+7cd)-3c(9-4d)= equation: 


Simplifying
5(2c + 7cd) + -3c(9 + -4d) = 0
(2c * 5 + 7cd * 5) + -3c(9 + -4d) = 0
(10c + 35cd) + -3c(9 + -4d) = 0
10c + 35cd + (9 * -3c + -4d * -3c) = 0
10c + 35cd + (-27c + 12cd) = 0

Reorder the terms:
10c + -27c + 35cd + 12cd = 0

Combine like terms: 10c + -27c = -17c
-17c + 35cd + 12cd = 0

Combine like terms: 35cd + 12cd = 47cd
-17c + 47cd = 0

Solving
-17c + 47cd = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), 'c'.
c(-17 + 47d) = 0


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 '(-17 + 47d)' equal to zero and attempt to solve:

Simplifying
-17 + 47d = 0

Solving
-17 + 47d = 0

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

Add '17' to each side of the equation.
-17 + 17 + 47d = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 47d = 0 + 17
47d = 0 + 17

Combine like terms: 0 + 17 = 17
47d = 17

Add '-47d' to each side of the equation.
47d + -47d = 17 + -47d

Combine like terms: 47d + -47d = 0
0 = 17 + -47d

Simplifying
0 = 17 + -47d

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
c = {0}

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