(D^5-2D^3-2D^2-3D-2)y=0

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Solution for (D^5-2D^3-2D^2-3D-2)y=0 equation: 


Simplifying
(D5 + -2D3 + -2D2 + -3D + -2) * y = 0

Reorder the terms:
(-2 + -3D + -2D2 + -2D3 + D5) * y = 0

Reorder the terms for easier multiplication:
y(-2 + -3D + -2D2 + -2D3 + D5) = 0
(-2 * y + -3D * y + -2D2 * y + -2D3 * y + D5 * y) = 0
(-2y + -3yD + -2yD2 + -2yD3 + yD5) = 0

Solving
-2y + -3yD + -2yD2 + -2yD3 + yD5 = 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 + -3D + -2D2 + -2D3 + D5) = 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 + -3D + -2D2 + -2D3 + D5)' equal to zero and attempt to solve:

Simplifying
-2 + -3D + -2D2 + -2D3 + D5 = 0

Solving
-2 + -3D + -2D2 + -2D3 + D5 = 0

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

Add '2' to each side of the equation.
-2 + -3D + -2D2 + -2D3 + 2 + D5 = 0 + 2

Reorder the terms:
-2 + 2 + -3D + -2D2 + -2D3 + D5 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3D + -2D2 + -2D3 + D5 = 0 + 2
-3D + -2D2 + -2D3 + D5 = 0 + 2

Combine like terms: 0 + 2 = 2
-3D + -2D2 + -2D3 + D5 = 2

Add '3D' to each side of the equation.
-3D + -2D2 + -2D3 + 3D + D5 = 2 + 3D

Reorder the terms:
-3D + 3D + -2D2 + -2D3 + D5 = 2 + 3D

Combine like terms: -3D + 3D = 0
0 + -2D2 + -2D3 + D5 = 2 + 3D
-2D2 + -2D3 + D5 = 2 + 3D

Add '2D2' to each side of the equation.
-2D2 + -2D3 + 2D2 + D5 = 2 + 3D + 2D2

Reorder the terms:
-2D2 + 2D2 + -2D3 + D5 = 2 + 3D + 2D2

Combine like terms: -2D2 + 2D2 = 0
0 + -2D3 + D5 = 2 + 3D + 2D2
-2D3 + D5 = 2 + 3D + 2D2

Add '2D3' to each side of the equation.
-2D3 + 2D3 + D5 = 2 + 3D + 2D2 + 2D3

Combine like terms: -2D3 + 2D3 = 0
0 + D5 = 2 + 3D + 2D2 + 2D3
D5 = 2 + 3D + 2D2 + 2D3

Add '-1D5' to each side of the equation.
D5 + -1D5 = 2 + 3D + 2D2 + 2D3 + -1D5

Combine like terms: D5 + -1D5 = 0
0 = 2 + 3D + 2D2 + 2D3 + -1D5

Simplifying
0 = 2 + 3D + 2D2 + 2D3 + -1D5

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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