(D^7-3D^6+4D^5-4D^4+3D^3-D^2)y=0

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Solution for (D^7-3D^6+4D^5-4D^4+3D^3-D^2)y=0 equation: 


Simplifying
(D7 + -3D6 + 4D5 + -4D4 + 3D3 + -1D2) * y = 0

Reorder the terms:
(-1D2 + 3D3 + -4D4 + 4D5 + -3D6 + D7) * y = 0

Reorder the terms for easier multiplication:
y(-1D2 + 3D3 + -4D4 + 4D5 + -3D6 + D7) = 0
(-1D2 * y + 3D3 * y + -4D4 * y + 4D5 * y + -3D6 * y + D7 * y) = 0
(-1yD2 + 3yD3 + -4yD4 + 4yD5 + -3yD6 + yD7) = 0

Solving
-1yD2 + 3yD3 + -4yD4 + 4yD5 + -3yD6 + yD7 = 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), 'yD2'.
yD2(-1 + 3D + -4D2 + 4D3 + -3D4 + D5) = 0


Subproblem 1
Set the factor 'yD2' equal to zero and attempt to solve:

Simplifying
yD2 = 0

Solving
yD2 = 0

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

Simplifying
yD2 = 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 + 3D + -4D2 + 4D3 + -3D4 + D5)' equal to zero and attempt to solve:

Simplifying
-1 + 3D + -4D2 + 4D3 + -3D4 + D5 = 0

Solving
-1 + 3D + -4D2 + 4D3 + -3D4 + D5 = 0

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

Add '1' to each side of the equation.
-1 + 3D + -4D2 + 4D3 + -3D4 + 1 + D5 = 0 + 1

Reorder the terms:
-1 + 1 + 3D + -4D2 + 4D3 + -3D4 + D5 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3D + -4D2 + 4D3 + -3D4 + D5 = 0 + 1
3D + -4D2 + 4D3 + -3D4 + D5 = 0 + 1

Combine like terms: 0 + 1 = 1
3D + -4D2 + 4D3 + -3D4 + D5 = 1

Add '-3D' to each side of the equation.
3D + -4D2 + 4D3 + -3D4 + -3D + D5 = 1 + -3D

Reorder the terms:
3D + -3D + -4D2 + 4D3 + -3D4 + D5 = 1 + -3D

Combine like terms: 3D + -3D = 0
0 + -4D2 + 4D3 + -3D4 + D5 = 1 + -3D
-4D2 + 4D3 + -3D4 + D5 = 1 + -3D

Add '4D2' to each side of the equation.
-4D2 + 4D3 + -3D4 + 4D2 + D5 = 1 + -3D + 4D2

Reorder the terms:
-4D2 + 4D2 + 4D3 + -3D4 + D5 = 1 + -3D + 4D2

Combine like terms: -4D2 + 4D2 = 0
0 + 4D3 + -3D4 + D5 = 1 + -3D + 4D2
4D3 + -3D4 + D5 = 1 + -3D + 4D2

Add '-4D3' to each side of the equation.
4D3 + -3D4 + -4D3 + D5 = 1 + -3D + 4D2 + -4D3

Reorder the terms:
4D3 + -4D3 + -3D4 + D5 = 1 + -3D + 4D2 + -4D3

Combine like terms: 4D3 + -4D3 = 0
0 + -3D4 + D5 = 1 + -3D + 4D2 + -4D3
-3D4 + D5 = 1 + -3D + 4D2 + -4D3

Add '3D4' to each side of the equation.
-3D4 + 3D4 + D5 = 1 + -3D + 4D2 + -4D3 + 3D4

Combine like terms: -3D4 + 3D4 = 0
0 + D5 = 1 + -3D + 4D2 + -4D3 + 3D4
D5 = 1 + -3D + 4D2 + -4D3 + 3D4

Add '-1D5' to each side of the equation.
D5 + -1D5 = 1 + -3D + 4D2 + -4D3 + 3D4 + -1D5

Combine like terms: D5 + -1D5 = 0
0 = 1 + -3D + 4D2 + -4D3 + 3D4 + -1D5

Simplifying
0 = 1 + -3D + 4D2 + -4D3 + 3D4 + -1D5

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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