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

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


Simplifying
(D3 + 2D2 + -5D) * y = 0

Reorder the terms:
(-5D + 2D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(-5D + 2D2 + D3) = 0
(-5D * y + 2D2 * y + D3 * y) = 0
(-5yD + 2yD2 + yD3) = 0

Solving
-5yD + 2yD2 + 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), 'yD'.
yD(-5 + 2D + D2) = 0


Subproblem 1
Set the factor 'yD' equal to zero and attempt to solve:

Simplifying
yD = 0

Solving
yD = 0

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

Simplifying
yD = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-5 + 2D + D2)' equal to zero and attempt to solve:

Simplifying
-5 + 2D + D2 = 0

Solving
-5 + 2D + D2 = 0

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

Add '5' to each side of the equation.
-5 + 2D + 5 + D2 = 0 + 5

Reorder the terms:
-5 + 5 + 2D + D2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2D + D2 = 0 + 5
2D + D2 = 0 + 5

Combine like terms: 0 + 5 = 5
2D + D2 = 5

Add '-2D' to each side of the equation.
2D + -2D + D2 = 5 + -2D

Combine like terms: 2D + -2D = 0
0 + D2 = 5 + -2D
D2 = 5 + -2D

Add '-1D2' to each side of the equation.
D2 + -1D2 = 5 + -2D + -1D2

Combine like terms: D2 + -1D2 = 0
0 = 5 + -2D + -1D2

Simplifying
0 = 5 + -2D + -1D2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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