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

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


Simplifying
c2d(c2d3 + 2cd2 + d) = 0

Reorder the terms:
c2d(2cd2 + c2d3 + d) = 0
(2cd2 * c2d + c2d3 * c2d + d * c2d) = 0

Reorder the terms:
(c2d2 + 2c3d3 + c4d4) = 0
(c2d2 + 2c3d3 + c4d4) = 0

Solving
c2d2 + 2c3d3 + c4d4 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c2d2'.
c2d2(1 + 2cd + c2d2) = 0

Factor a trinomial.
c2d2((1 + cd)(1 + cd)) = 0


Subproblem 1
Set the factor 'c2d2' equal to zero and attempt to solve:

Simplifying
c2d2 = 0

Solving
c2d2 = 0

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

Simplifying
c2d2 = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(1 + cd)' equal to zero and attempt to solve:

Simplifying
1 + cd = 0

Solving
1 + cd = 0

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

Add '-1' to each side of the equation.
1 + -1 + cd = 0 + -1

Combine like terms: 1 + -1 = 0
0 + cd = 0 + -1
cd = 0 + -1

Combine like terms: 0 + -1 = -1
cd = -1

Divide each side by 'd'.
c = -1d-1

Simplifying
c = -1d-1

Subproblem 3
Set the factor '(1 + cd)' equal to zero and attempt to solve:

Simplifying
1 + cd = 0

Solving
1 + cd = 0

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

Add '-1' to each side of the equation.
1 + -1 + cd = 0 + -1

Combine like terms: 1 + -1 = 0
0 + cd = 0 + -1
cd = 0 + -1

Combine like terms: 0 + -1 = -1
cd = -1

Divide each side by 'd'.
c = -1d-1

Simplifying
c = -1d-1
Solution
c = {-1d-1, -1d-1}

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