(D^3-3D^2+9D+13)y=0

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Solution for (D^3-3D^2+9D+13)y=0 equation: 


Simplifying
(D3 + -3D2 + 9D + 13) * y = 0

Reorder the terms:
(13 + 9D + -3D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(13 + 9D + -3D2 + D3) = 0
(13 * y + 9D * y + -3D2 * y + D3 * y) = 0
(13y + 9yD + -3yD2 + yD3) = 0

Solving
13y + 9yD + -3yD2 + yD3 = 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(13 + 9D + -3D2 + 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 '(13 + 9D + -3D2 + D3)' equal to zero and attempt to solve:

Simplifying
13 + 9D + -3D2 + D3 = 0

Solving
13 + 9D + -3D2 + D3 = 0

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

Add '-13' to each side of the equation.
13 + 9D + -3D2 + -13 + D3 = 0 + -13

Reorder the terms:
13 + -13 + 9D + -3D2 + D3 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 9D + -3D2 + D3 = 0 + -13
9D + -3D2 + D3 = 0 + -13

Combine like terms: 0 + -13 = -13
9D + -3D2 + D3 = -13

Add '-9D' to each side of the equation.
9D + -3D2 + -9D + D3 = -13 + -9D

Reorder the terms:
9D + -9D + -3D2 + D3 = -13 + -9D

Combine like terms: 9D + -9D = 0
0 + -3D2 + D3 = -13 + -9D
-3D2 + D3 = -13 + -9D

Add '3D2' to each side of the equation.
-3D2 + 3D2 + D3 = -13 + -9D + 3D2

Combine like terms: -3D2 + 3D2 = 0
0 + D3 = -13 + -9D + 3D2
D3 = -13 + -9D + 3D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = -13 + -9D + 3D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -13 + -9D + 3D2 + -1D3

Simplifying
0 = -13 + -9D + 3D2 + -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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