(D^3+7D^2+19D+13)y=0

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Solution for (D^3+7D^2+19D+13)y=0 equation: 


Simplifying
(D3 + 7D2 + 19D + 13) * y = 0

Reorder the terms:
(13 + 19D + 7D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(13 + 19D + 7D2 + D3) = 0
(13 * y + 19D * y + 7D2 * y + D3 * y) = 0
(13y + 19yD + 7yD2 + yD3) = 0

Solving
13y + 19yD + 7yD2 + 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 + 19D + 7D2 + 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 + 19D + 7D2 + D3)' equal to zero and attempt to solve:

Simplifying
13 + 19D + 7D2 + D3 = 0

Solving
13 + 19D + 7D2 + 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 + 19D + 7D2 + -13 + D3 = 0 + -13

Reorder the terms:
13 + -13 + 19D + 7D2 + D3 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 19D + 7D2 + D3 = 0 + -13
19D + 7D2 + D3 = 0 + -13

Combine like terms: 0 + -13 = -13
19D + 7D2 + D3 = -13

Add '-19D' to each side of the equation.
19D + 7D2 + -19D + D3 = -13 + -19D

Reorder the terms:
19D + -19D + 7D2 + D3 = -13 + -19D

Combine like terms: 19D + -19D = 0
0 + 7D2 + D3 = -13 + -19D
7D2 + D3 = -13 + -19D

Add '-7D2' to each side of the equation.
7D2 + -7D2 + D3 = -13 + -19D + -7D2

Combine like terms: 7D2 + -7D2 = 0
0 + D3 = -13 + -19D + -7D2
D3 = -13 + -19D + -7D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = -13 + -19D + -7D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -13 + -19D + -7D2 + -1D3

Simplifying
0 = -13 + -19D + -7D2 + -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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