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

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


Simplifying
(D3 + -1D2 + -2D) * y = 0

Reorder the terms:
(-2D + -1D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(-2D + -1D2 + D3) = 0
(-2D * y + -1D2 * y + D3 * y) = 0
(-2yD + -1yD2 + yD3) = 0

Solving
-2yD + -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), 'yD'.
yD(-2 + -1D + D2) = 0

Factor a trinomial.
yD((-1 + -1D)(2 + -1D)) = 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 '(-1 + -1D)' equal to zero and attempt to solve: Simplifying -1 + -1D = 0 Solving -1 + -1D = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1D = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1D = 0 + 1 -1D = 0 + 1 Combine like terms: 0 + 1 = 1 -1D = 1 Add 'D' to each side of the equation. -1D + D = 1 + D Combine like terms: -1D + D = 0 0 = 1 + D Simplifying 0 = 1 + D The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + -1D)' equal to zero and attempt to solve: Simplifying 2 + -1D = 0 Solving 2 + -1D = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1D = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1D = 0 + -2 -1D = 0 + -2 Combine like terms: 0 + -2 = -2 -1D = -2 Add 'D' to each side of the equation. -1D + D = -2 + D Combine like terms: -1D + D = 0 0 = -2 + D Simplifying 0 = -2 + D 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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