(D^4+3D^3-4D)y=0

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Solution for (D^4+3D^3-4D)y=0 equation: 


Simplifying
(D4 + 3D3 + -4D) * y = 0

Reorder the terms:
(-4D + 3D3 + D4) * y = 0

Reorder the terms for easier multiplication:
y(-4D + 3D3 + D4) = 0
(-4D * y + 3D3 * y + D4 * y) = 0
(-4yD + 3yD3 + yD4) = 0

Solving
-4yD + 3yD3 + yD4 = 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), 'yD'.
yD(-4 + 3D2 + D3) = 0


Subproblem 1
Set the factor 'yD' equal to zero and attempt to solve:

Simplifying
yD = 0

Solving
yD = 0

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

Simplifying
yD = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(-4 + 3D2 + D3)' equal to zero and attempt to solve:

Simplifying
-4 + 3D2 + D3 = 0

Solving
-4 + 3D2 + D3 = 0

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

Add '4' to each side of the equation.
-4 + 3D2 + 4 + D3 = 0 + 4

Reorder the terms:
-4 + 4 + 3D2 + D3 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3D2 + D3 = 0 + 4
3D2 + D3 = 0 + 4

Combine like terms: 0 + 4 = 4
3D2 + D3 = 4

Add '-3D2' to each side of the equation.
3D2 + -3D2 + D3 = 4 + -3D2

Combine like terms: 3D2 + -3D2 = 0
0 + D3 = 4 + -3D2
D3 = 4 + -3D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = 4 + -3D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = 4 + -3D2 + -1D3

Simplifying
0 = 4 + -3D2 + -1D3

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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