(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

Factor a trinomial.
y((-5 + -1D)(1 + -1D)) = 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 + -1D)' equal to zero and attempt to solve:

Simplifying
-5 + -1D = 0

Solving
-5 + -1D = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1D = 0 + 5

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

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

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

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

Simplifying
0 = 5 + 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 '(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.
Solution
y = {0}

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