(D^4+6D^3-9D^2)y=0

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Solution for (D^4+6D^3-9D^2)y=0 equation: 


Simplifying
(D4 + 6D3 + -9D2) * y = 0

Reorder the terms:
(-9D2 + 6D3 + D4) * y = 0

Reorder the terms for easier multiplication:
y(-9D2 + 6D3 + D4) = 0
(-9D2 * y + 6D3 * y + D4 * y) = 0
(-9yD2 + 6yD3 + yD4) = 0

Solving
-9yD2 + 6yD3 + yD4 = 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), 'yD2'.
yD2(-9 + 6D + D2) = 0


Subproblem 1
Set the factor 'yD2' equal to zero and attempt to solve:

Simplifying
yD2 = 0

Solving
yD2 = 0

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

Simplifying
yD2 = 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 '(-9 + 6D + D2)' equal to zero and attempt to solve:

Simplifying
-9 + 6D + D2 = 0

Solving
-9 + 6D + D2 = 0

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

Add '9' to each side of the equation.
-9 + 6D + 9 + D2 = 0 + 9

Reorder the terms:
-9 + 9 + 6D + D2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 6D + D2 = 0 + 9
6D + D2 = 0 + 9

Combine like terms: 0 + 9 = 9
6D + D2 = 9

Add '-6D' to each side of the equation.
6D + -6D + D2 = 9 + -6D

Combine like terms: 6D + -6D = 0
0 + D2 = 9 + -6D
D2 = 9 + -6D

Add '-1D2' to each side of the equation.
D2 + -1D2 = 9 + -6D + -1D2

Combine like terms: D2 + -1D2 = 0
0 = 9 + -6D + -1D2

Simplifying
0 = 9 + -6D + -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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