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

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


Simplifying
(D3 + -1D2 + -4D + -2) * y = 0

Reorder the terms:
(-2 + -4D + -1D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(-2 + -4D + -1D2 + D3) = 0
(-2 * y + -4D * y + -1D2 * y + D3 * y) = 0
(-2y + -4yD + -1yD2 + yD3) = 0

Solving
-2y + -4yD + -1yD2 + 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(-2 + -4D + -1D2 + 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 '(-2 + -4D + -1D2 + D3)' equal to zero and attempt to solve:

Simplifying
-2 + -4D + -1D2 + D3 = 0

Solving
-2 + -4D + -1D2 + D3 = 0

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

Add '2' to each side of the equation.
-2 + -4D + -1D2 + 2 + D3 = 0 + 2

Reorder the terms:
-2 + 2 + -4D + -1D2 + D3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -4D + -1D2 + D3 = 0 + 2
-4D + -1D2 + D3 = 0 + 2

Combine like terms: 0 + 2 = 2
-4D + -1D2 + D3 = 2

Add '4D' to each side of the equation.
-4D + -1D2 + 4D + D3 = 2 + 4D

Reorder the terms:
-4D + 4D + -1D2 + D3 = 2 + 4D

Combine like terms: -4D + 4D = 0
0 + -1D2 + D3 = 2 + 4D
-1D2 + D3 = 2 + 4D

Add 'D2' to each side of the equation.
-1D2 + D2 + D3 = 2 + 4D + D2

Combine like terms: -1D2 + D2 = 0
0 + D3 = 2 + 4D + D2
D3 = 2 + 4D + D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = 2 + 4D + D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = 2 + 4D + D2 + -1D3

Simplifying
0 = 2 + 4D + D2 + -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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