(D^3+D^2+4D+4)y=0

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Solution for (D^3+D^2+4D+4)y=0 equation: 


Simplifying
(D3 + D2 + 4D + 4) * y = 0

Reorder the terms:
(4 + 4D + D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(4 + 4D + D2 + D3) = 0
(4 * y + 4D * y + D2 * y + D3 * y) = 0
(4y + 4yD + yD2 + yD3) = 0

Solving
4y + 4yD + yD2 + yD3 = 0

Solving for variable 'y'.

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

Factor out the Greatest Common Factor (GCF), 'y'.
y(4 + 4D + D2 + D3) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(4 + 4D + D2 + D3)' equal to zero and attempt to solve:

Simplifying
4 + 4D + D2 + D3 = 0

Solving
4 + 4D + D2 + D3 = 0

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

Add '-4' to each side of the equation.
4 + 4D + D2 + -4 + D3 = 0 + -4

Reorder the terms:
4 + -4 + 4D + D2 + D3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4D + D2 + D3 = 0 + -4
4D + D2 + D3 = 0 + -4

Combine like terms: 0 + -4 = -4
4D + D2 + D3 = -4

Add '-4D' to each side of the equation.
4D + D2 + -4D + D3 = -4 + -4D

Reorder the terms:
4D + -4D + D2 + D3 = -4 + -4D

Combine like terms: 4D + -4D = 0
0 + D2 + D3 = -4 + -4D
D2 + D3 = -4 + -4D

Add '-1D2' to each side of the equation.
D2 + -1D2 + D3 = -4 + -4D + -1D2

Combine like terms: D2 + -1D2 = 0
0 + D3 = -4 + -4D + -1D2
D3 = -4 + -4D + -1D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = -4 + -4D + -1D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -4 + -4D + -1D2 + -1D3

Simplifying
0 = -4 + -4D + -1D2 + -1D3

The solution to this equation could not be determined.

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

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