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

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


Simplifying
(D3 + -3D + 2) * y = 0

Reorder the terms:
(2 + -3D + D3) * y = 0

Reorder the terms for easier multiplication:
y(2 + -3D + D3) = 0
(2 * y + -3D * y + D3 * y) = 0
(2y + -3yD + yD3) = 0

Solving
2y + -3yD + 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(2 + -3D + 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 '(2 + -3D + D3)' equal to zero and attempt to solve:

Simplifying
2 + -3D + D3 = 0

Solving
2 + -3D + D3 = 0

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

Add '-2' to each side of the equation.
2 + -3D + -2 + D3 = 0 + -2

Reorder the terms:
2 + -2 + -3D + D3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3D + D3 = 0 + -2
-3D + D3 = 0 + -2

Combine like terms: 0 + -2 = -2
-3D + D3 = -2

Add '3D' to each side of the equation.
-3D + 3D + D3 = -2 + 3D

Combine like terms: -3D + 3D = 0
0 + D3 = -2 + 3D
D3 = -2 + 3D

Add '-1D3' to each side of the equation.
D3 + -1D3 = -2 + 3D + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -2 + 3D + -1D3

Simplifying
0 = -2 + 3D + -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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