((D^3)-(5D^2)+(9D)-5)y=0

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Solution for ((D^3)-(5D^2)+(9D)-5)y=0 equation: 


Simplifying
((D3) + -1(5D2) + (9D) + -5) * y = 0
(D3 + -1(5D2) + (9D) + -5) * y = 0

Remove parenthesis around (5D2)
(D3 + -1 * 5D2 + (9D) + -5) * y = 0

Multiply -1 * 5
(D3 + -5D2 + (9D) + -5) * y = 0

Reorder the terms:
(-5 + (9D) + -5D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(-5 + (9D) + -5D2 + D3) = 0
(-5 * y + (9D) * y + -5D2 * y + D3 * y) = 0
(-5y + 9yD + -5yD2 + yD3) = 0

Solving
-5y + 9yD + -5yD2 + 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(-5 + 9D + -5D2 + 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 '(-5 + 9D + -5D2 + D3)' equal to zero and attempt to solve:

Simplifying
-5 + 9D + -5D2 + D3 = 0

Solving
-5 + 9D + -5D2 + D3 = 0

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

Add '5' to each side of the equation.
-5 + 9D + -5D2 + 5 + D3 = 0 + 5

Reorder the terms:
-5 + 5 + 9D + -5D2 + D3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 9D + -5D2 + D3 = 0 + 5
9D + -5D2 + D3 = 0 + 5

Combine like terms: 0 + 5 = 5
9D + -5D2 + D3 = 5

Add '-9D' to each side of the equation.
9D + -5D2 + -9D + D3 = 5 + -9D

Reorder the terms:
9D + -9D + -5D2 + D3 = 5 + -9D

Combine like terms: 9D + -9D = 0
0 + -5D2 + D3 = 5 + -9D
-5D2 + D3 = 5 + -9D

Add '5D2' to each side of the equation.
-5D2 + 5D2 + D3 = 5 + -9D + 5D2

Combine like terms: -5D2 + 5D2 = 0
0 + D3 = 5 + -9D + 5D2
D3 = 5 + -9D + 5D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = 5 + -9D + 5D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = 5 + -9D + 5D2 + -1D3

Simplifying
0 = 5 + -9D + 5D2 + -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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