(D^3+4D^2-3D-18)y=0

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Solution for (D^3+4D^2-3D-18)y=0 equation: 


Simplifying
(D3 + 4D2 + -3D + -18) * y = 0

Reorder the terms:
(-18 + -3D + 4D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(-18 + -3D + 4D2 + D3) = 0
(-18 * y + -3D * y + 4D2 * y + D3 * y) = 0
(-18y + -3yD + 4yD2 + yD3) = 0

Solving
-18y + -3yD + 4yD2 + 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(-18 + -3D + 4D2 + 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 '(-18 + -3D + 4D2 + D3)' equal to zero and attempt to solve:

Simplifying
-18 + -3D + 4D2 + D3 = 0

Solving
-18 + -3D + 4D2 + D3 = 0

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

Add '18' to each side of the equation.
-18 + -3D + 4D2 + 18 + D3 = 0 + 18

Reorder the terms:
-18 + 18 + -3D + 4D2 + D3 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -3D + 4D2 + D3 = 0 + 18
-3D + 4D2 + D3 = 0 + 18

Combine like terms: 0 + 18 = 18
-3D + 4D2 + D3 = 18

Add '3D' to each side of the equation.
-3D + 4D2 + 3D + D3 = 18 + 3D

Reorder the terms:
-3D + 3D + 4D2 + D3 = 18 + 3D

Combine like terms: -3D + 3D = 0
0 + 4D2 + D3 = 18 + 3D
4D2 + D3 = 18 + 3D

Add '-4D2' to each side of the equation.
4D2 + -4D2 + D3 = 18 + 3D + -4D2

Combine like terms: 4D2 + -4D2 = 0
0 + D3 = 18 + 3D + -4D2
D3 = 18 + 3D + -4D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = 18 + 3D + -4D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = 18 + 3D + -4D2 + -1D3

Simplifying
0 = 18 + 3D + -4D2 + -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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