(D^2+4D+5)y=0

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Solution for (D^2+4D+5)y=0 equation: 


Simplifying
(D2 + 4D + 5) * y = 0

Reorder the terms:
(5 + 4D + D2) * y = 0

Reorder the terms for easier multiplication:
y(5 + 4D + D2) = 0
(5 * y + 4D * y + D2 * y) = 0
(5y + 4yD + yD2) = 0

Solving
5y + 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), 'y'.
y(5 + 4D + D2) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(5 + 4D + D2)' equal to zero and attempt to solve:

Simplifying
5 + 4D + D2 = 0

Solving
5 + 4D + D2 = 0

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

Add '-5' to each side of the equation.
5 + 4D + -5 + D2 = 0 + -5

Reorder the terms:
5 + -5 + 4D + D2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4D + D2 = 0 + -5
4D + D2 = 0 + -5

Combine like terms: 0 + -5 = -5
4D + D2 = -5

Add '-4D' to each side of the equation.
4D + -4D + D2 = -5 + -4D

Combine like terms: 4D + -4D = 0
0 + D2 = -5 + -4D
D2 = -5 + -4D

Add '-1D2' to each side of the equation.
D2 + -1D2 = -5 + -4D + -1D2

Combine like terms: D2 + -1D2 = 0
0 = -5 + -4D + -1D2

Simplifying
0 = -5 + -4D + -1D2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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