(D^5+D^4+D^3+D^2+D+1)y=0

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Solution for (D^5+D^4+D^3+D^2+D+1)y=0 equation: 


Simplifying
(D5 + D4 + D3 + D2 + D + 1) * y = 0

Reorder the terms:
(1 + D + D2 + D3 + D4 + D5) * y = 0

Reorder the terms for easier multiplication:
y(1 + D + D2 + D3 + D4 + D5) = 0
(1 * y + D * y + D2 * y + D3 * y + D4 * y + D5 * y) = 0
(1y + yD + yD2 + yD3 + yD4 + yD5) = 0

Solving
1y + yD + yD2 + yD3 + yD4 + 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(1 + D + D2 + D3 + D4 + 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 '(1 + D + D2 + D3 + D4 + D5)' equal to zero and attempt to solve:

Simplifying
1 + D + D2 + D3 + D4 + D5 = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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