(D^3-6D^2+12D-8)y=0

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Solution for (D^3-6D^2+12D-8)y=0 equation: 


Simplifying
(D3 + -6D2 + 12D + -8) * y = 0

Reorder the terms:
(-8 + 12D + -6D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(-8 + 12D + -6D2 + D3) = 0
(-8 * y + 12D * y + -6D2 * y + D3 * y) = 0
(-8y + 12yD + -6yD2 + yD3) = 0

Solving
-8y + 12yD + -6yD2 + 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(-8 + 12D + -6D2 + 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 '(-8 + 12D + -6D2 + D3)' equal to zero and attempt to solve:

Simplifying
-8 + 12D + -6D2 + D3 = 0

Solving
-8 + 12D + -6D2 + D3 = 0

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

Add '8' to each side of the equation.
-8 + 12D + -6D2 + 8 + D3 = 0 + 8

Reorder the terms:
-8 + 8 + 12D + -6D2 + D3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 12D + -6D2 + D3 = 0 + 8
12D + -6D2 + D3 = 0 + 8

Combine like terms: 0 + 8 = 8
12D + -6D2 + D3 = 8

Add '-12D' to each side of the equation.
12D + -6D2 + -12D + D3 = 8 + -12D

Reorder the terms:
12D + -12D + -6D2 + D3 = 8 + -12D

Combine like terms: 12D + -12D = 0
0 + -6D2 + D3 = 8 + -12D
-6D2 + D3 = 8 + -12D

Add '6D2' to each side of the equation.
-6D2 + 6D2 + D3 = 8 + -12D + 6D2

Combine like terms: -6D2 + 6D2 = 0
0 + D3 = 8 + -12D + 6D2
D3 = 8 + -12D + 6D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = 8 + -12D + 6D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = 8 + -12D + 6D2 + -1D3

Simplifying
0 = 8 + -12D + 6D2 + -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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