(D^2+4D)y=0

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


Simplifying
(D2 + 4D) * y = 0

Reorder the terms:
(4D + D2) * y = 0

Reorder the terms for easier multiplication:
y(4D + D2) = 0
(4D * y + D2 * y) = 0
(4yD + yD2) = 0

Solving
4yD + yD2 = 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(4 + D) = 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 '(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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