(D^4-16D^2)y=0

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Solution for (D^4-16D^2)y=0 equation:


Simplifying
(D4 + -16D2) * y = 0

Reorder the terms:
(-16D2 + D4) * y = 0

Reorder the terms for easier multiplication:
y(-16D2 + D4) = 0
(-16D2 * y + D4 * y) = 0
(-16yD2 + yD4) = 0

Solving
-16yD2 + 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(-16 + D2) = 0

Factor a difference between two squares.
yD2((4 + D)(-4 + D)) = 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 '(4 + D)' equal to zero and attempt to solve: Simplifying 4 + D = 0 Solving 4 + D = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + D = 0 + -4 Combine like terms: 4 + -4 = 0 0 + D = 0 + -4 D = 0 + -4 Combine like terms: 0 + -4 = -4 D = -4 Add '-1D' to each side of the equation. D + -1D = -4 + -1D Combine like terms: D + -1D = 0 0 = -4 + -1D Simplifying 0 = -4 + -1D 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 '(-4 + D)' equal to zero and attempt to solve: Simplifying -4 + D = 0 Solving -4 + D = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + D = 0 + 4 Combine like terms: -4 + 4 = 0 0 + D = 0 + 4 D = 0 + 4 Combine like terms: 0 + 4 = 4 D = 4 Add '-1D' to each side of the equation. D + -1D = 4 + -1D Combine like terms: D + -1D = 0 0 = 4 + -1D Simplifying 0 = 4 + -1D 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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