(D^6+9D^3+8)y=0

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Solution for (D^6+9D^3+8)y=0 equation: 


Simplifying
(D6 + 9D3 + 8) * y = 0

Reorder the terms:
(8 + 9D3 + D6) * y = 0

Reorder the terms for easier multiplication:
y(8 + 9D3 + D6) = 0
(8 * y + 9D3 * y + D6 * y) = 0
(8y + 9yD3 + yD6) = 0

Solving
8y + 9yD3 + 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(8 + 9D3 + D6) = 0

Factor a trinomial.
y((8 + D3)(1 + D3)) = 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 '(8 + D3)' equal to zero and attempt to solve:

Simplifying
8 + D3 = 0

Solving
8 + D3 = 0

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

Add '-8' to each side of the equation.
8 + -8 + D3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + D3 = 0 + -8
D3 = 0 + -8

Combine like terms: 0 + -8 = -8
D3 = -8

Add '-1D3' to each side of the equation.
D3 + -1D3 = -8 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -8 + -1D3

Simplifying
0 = -8 + -1D3

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(1 + D3)' equal to zero and attempt to solve:

Simplifying
1 + D3 = 0

Solving
1 + D3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + D3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + D3 = 0 + -1
D3 = 0 + -1

Combine like terms: 0 + -1 = -1
D3 = -1

Add '-1D3' to each side of the equation.
D3 + -1D3 = -1 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -1 + -1D3

Simplifying
0 = -1 + -1D3

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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