(c^3+2c^2d+cd^2)(c+d)=0

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Solution for (c^3+2c^2d+cd^2)(c+d)=0 equation: 


Simplifying
(c3 + 2c2d + cd2)(c + d) = 0

Reorder the terms:
(cd2 + 2c2d + c3)(c + d) = 0

Multiply (cd2 + 2c2d + c3) * (c + d)
(cd2(c + d) + 2c2d * (c + d) + c3(c + d)) = 0
((c * cd2 + d * cd2) + 2c2d * (c + d) + c3(c + d)) = 0

Reorder the terms:
((cd3 + c2d2) + 2c2d * (c + d) + c3(c + d)) = 0
((cd3 + c2d2) + 2c2d * (c + d) + c3(c + d)) = 0
(cd3 + c2d2 + (c * 2c2d + d * 2c2d) + c3(c + d)) = 0

Reorder the terms:
(cd3 + c2d2 + (2c2d2 + 2c3d) + c3(c + d)) = 0
(cd3 + c2d2 + (2c2d2 + 2c3d) + c3(c + d)) = 0
(cd3 + c2d2 + 2c2d2 + 2c3d + (c * c3 + d * c3)) = 0

Reorder the terms:
(cd3 + c2d2 + 2c2d2 + 2c3d + (c3d + c4)) = 0
(cd3 + c2d2 + 2c2d2 + 2c3d + (c3d + c4)) = 0

Combine like terms: c2d2 + 2c2d2 = 3c2d2
(cd3 + 3c2d2 + 2c3d + c3d + c4) = 0

Combine like terms: 2c3d + c3d = 3c3d
(cd3 + 3c2d2 + 3c3d + c4) = 0

Solving
cd3 + 3c2d2 + 3c3d + c4 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(d3 + 3cd2 + 3c2d + c3) = 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 '(d3 + 3cd2 + 3c2d + c3)' equal to zero and attempt to solve:

Simplifying
d3 + 3cd2 + 3c2d + c3 = 0

Reorder the terms:
3cd2 + 3c2d + c3 + d3 = 0

Solving
3cd2 + 3c2d + c3 + d3 = 0

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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