(D^4+4D^3+8D^2-8D+4)y=0

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Solution for (D^4+4D^3+8D^2-8D+4)y=0 equation: 


Simplifying
(D4 + 4D3 + 8D2 + -8D + 4) * y = 0

Reorder the terms:
(4 + -8D + 8D2 + 4D3 + D4) * y = 0

Reorder the terms for easier multiplication:
y(4 + -8D + 8D2 + 4D3 + D4) = 0
(4 * y + -8D * y + 8D2 * y + 4D3 * y + D4 * y) = 0
(4y + -8yD + 8yD2 + 4yD3 + yD4) = 0

Solving
4y + -8yD + 8yD2 + 4yD3 + yD4 = 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 + -8D + 8D2 + 4D3 + D4) = 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 + -8D + 8D2 + 4D3 + D4)' equal to zero and attempt to solve:

Simplifying
4 + -8D + 8D2 + 4D3 + D4 = 0

Solving
4 + -8D + 8D2 + 4D3 + D4 = 0

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

Add '-4' to each side of the equation.
4 + -8D + 8D2 + 4D3 + -4 + D4 = 0 + -4

Reorder the terms:
4 + -4 + -8D + 8D2 + 4D3 + D4 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -8D + 8D2 + 4D3 + D4 = 0 + -4
-8D + 8D2 + 4D3 + D4 = 0 + -4

Combine like terms: 0 + -4 = -4
-8D + 8D2 + 4D3 + D4 = -4

Add '8D' to each side of the equation.
-8D + 8D2 + 4D3 + 8D + D4 = -4 + 8D

Reorder the terms:
-8D + 8D + 8D2 + 4D3 + D4 = -4 + 8D

Combine like terms: -8D + 8D = 0
0 + 8D2 + 4D3 + D4 = -4 + 8D
8D2 + 4D3 + D4 = -4 + 8D

Add '-8D2' to each side of the equation.
8D2 + 4D3 + -8D2 + D4 = -4 + 8D + -8D2

Reorder the terms:
8D2 + -8D2 + 4D3 + D4 = -4 + 8D + -8D2

Combine like terms: 8D2 + -8D2 = 0
0 + 4D3 + D4 = -4 + 8D + -8D2
4D3 + D4 = -4 + 8D + -8D2

Add '-4D3' to each side of the equation.
4D3 + -4D3 + D4 = -4 + 8D + -8D2 + -4D3

Combine like terms: 4D3 + -4D3 = 0
0 + D4 = -4 + 8D + -8D2 + -4D3
D4 = -4 + 8D + -8D2 + -4D3

Add '-1D4' to each side of the equation.
D4 + -1D4 = -4 + 8D + -8D2 + -4D3 + -1D4

Combine like terms: D4 + -1D4 = 0
0 = -4 + 8D + -8D2 + -4D3 + -1D4

Simplifying
0 = -4 + 8D + -8D2 + -4D3 + -1D4

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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