(D^3+16D)y=0

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Solution for (D^3+16D)y=0 equation:


Simplifying
(D3 + 16D) * y = 0

Reorder the terms:
(16D + D3) * y = 0

Reorder the terms for easier multiplication:
y(16D + D3) = 0
(16D * y + D3 * y) = 0
(16yD + yD3) = 0

Solving
16yD + 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(16 + 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 '(16 + D2)' equal to zero and attempt to solve: Simplifying 16 + D2 = 0 Solving 16 + D2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + D2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + D2 = 0 + -16 D2 = 0 + -16 Combine like terms: 0 + -16 = -16 D2 = -16 Add '-1D2' to each side of the equation. D2 + -1D2 = -16 + -1D2 Combine like terms: D2 + -1D2 = 0 0 = -16 + -1D2 Simplifying 0 = -16 + -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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