5c(3c+2d)-2c(c-d)=

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Solution for 5c(3c+2d)-2c(c-d)= equation: 


Simplifying
5c(3c + 2d) + -2c(c + -1d) = 0
(3c * 5c + 2d * 5c) + -2c(c + -1d) = 0

Reorder the terms:
(10cd + 15c2) + -2c(c + -1d) = 0
(10cd + 15c2) + -2c(c + -1d) = 0
10cd + 15c2 + (c * -2c + -1d * -2c) = 0

Reorder the terms:
10cd + 15c2 + (2cd + -2c2) = 0
10cd + 15c2 + (2cd + -2c2) = 0

Reorder the terms:
10cd + 2cd + 15c2 + -2c2 = 0

Combine like terms: 10cd + 2cd = 12cd
12cd + 15c2 + -2c2 = 0

Combine like terms: 15c2 + -2c2 = 13c2
12cd + 13c2 = 0

Solving
12cd + 13c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(12d + 13c) = 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 '(12d + 13c)' equal to zero and attempt to solve:

Simplifying
12d + 13c = 0

Reorder the terms:
13c + 12d = 0

Solving
13c + 12d = 0

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

Add '-12d' to each side of the equation.
13c + 12d + -12d = 0 + -12d

Combine like terms: 12d + -12d = 0
13c + 0 = 0 + -12d
13c = 0 + -12d
Remove the zero:
13c = -12d

Divide each side by '13'.
c = -0.9230769231d

Simplifying
c = -0.9230769231d
Solution
c = {0, -0.9230769231d}

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