(D^3-D^2-8D+12)y=0

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Solution for (D^3-D^2-8D+12)y=0 equation: 


Simplifying
(D3 + -1D2 + -8D + 12) * y = 0

Reorder the terms:
(12 + -8D + -1D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(12 + -8D + -1D2 + D3) = 0
(12 * y + -8D * y + -1D2 * y + D3 * y) = 0
(12y + -8yD + -1yD2 + yD3) = 0

Solving
12y + -8yD + -1yD2 + 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(12 + -8D + -1D2 + 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 '(12 + -8D + -1D2 + D3)' equal to zero and attempt to solve:

Simplifying
12 + -8D + -1D2 + D3 = 0

Solving
12 + -8D + -1D2 + D3 = 0

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

Add '-12' to each side of the equation.
12 + -8D + -1D2 + -12 + D3 = 0 + -12

Reorder the terms:
12 + -12 + -8D + -1D2 + D3 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -8D + -1D2 + D3 = 0 + -12
-8D + -1D2 + D3 = 0 + -12

Combine like terms: 0 + -12 = -12
-8D + -1D2 + D3 = -12

Add '8D' to each side of the equation.
-8D + -1D2 + 8D + D3 = -12 + 8D

Reorder the terms:
-8D + 8D + -1D2 + D3 = -12 + 8D

Combine like terms: -8D + 8D = 0
0 + -1D2 + D3 = -12 + 8D
-1D2 + D3 = -12 + 8D

Add 'D2' to each side of the equation.
-1D2 + D2 + D3 = -12 + 8D + D2

Combine like terms: -1D2 + D2 = 0
0 + D3 = -12 + 8D + D2
D3 = -12 + 8D + D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = -12 + 8D + D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -12 + 8D + D2 + -1D3

Simplifying
0 = -12 + 8D + D2 + -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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