5c(3c+5d)=

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


Simplifying
5c(3c + 5d) = 0
(3c * 5c + 5d * 5c) = 0

Reorder the terms:
(25cd + 15c2) = 0
(25cd + 15c2) = 0

Solving
25cd + 15c2 = 0

Solving for variable 'c'.

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

Ignore the factor 5.

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 '(5d + 3c)' equal to zero and attempt to solve:

Simplifying
5d + 3c = 0

Reorder the terms:
3c + 5d = 0

Solving
3c + 5d = 0

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

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

Combine like terms: 5d + -5d = 0
3c + 0 = 0 + -5d
3c = 0 + -5d
Remove the zero:
3c = -5d

Divide each side by '3'.
c = -1.666666667d

Simplifying
c = -1.666666667d
Solution
c = {0, -1.666666667d}

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