(D^6+D^4+4D^2+4)y=0

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Solution for (D^6+D^4+4D^2+4)y=0 equation: 


Simplifying
(D6 + D4 + 4D2 + 4) * y = 0

Reorder the terms:
(4 + 4D2 + D4 + D6) * y = 0

Reorder the terms for easier multiplication:
y(4 + 4D2 + D4 + D6) = 0
(4 * y + 4D2 * y + D4 * y + D6 * y) = 0
(4y + 4yD2 + yD4 + yD6) = 0

Solving
4y + 4yD2 + yD4 + yD6 = 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 + 4D2 + D4 + D6) = 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 + 4D2 + D4 + D6)' equal to zero and attempt to solve:

Simplifying
4 + 4D2 + D4 + D6 = 0

Solving
4 + 4D2 + D4 + D6 = 0

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

Add '-4' to each side of the equation.
4 + 4D2 + D4 + -4 + D6 = 0 + -4

Reorder the terms:
4 + -4 + 4D2 + D4 + D6 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4D2 + D4 + D6 = 0 + -4
4D2 + D4 + D6 = 0 + -4

Combine like terms: 0 + -4 = -4
4D2 + D4 + D6 = -4

Add '-4D2' to each side of the equation.
4D2 + D4 + -4D2 + D6 = -4 + -4D2

Reorder the terms:
4D2 + -4D2 + D4 + D6 = -4 + -4D2

Combine like terms: 4D2 + -4D2 = 0
0 + D4 + D6 = -4 + -4D2
D4 + D6 = -4 + -4D2

Add '-1D4' to each side of the equation.
D4 + -1D4 + D6 = -4 + -4D2 + -1D4

Combine like terms: D4 + -1D4 = 0
0 + D6 = -4 + -4D2 + -1D4
D6 = -4 + -4D2 + -1D4

Add '-1D6' to each side of the equation.
D6 + -1D6 = -4 + -4D2 + -1D4 + -1D6

Combine like terms: D6 + -1D6 = 0
0 = -4 + -4D2 + -1D4 + -1D6

Simplifying
0 = -4 + -4D2 + -1D4 + -1D6

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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