(D^2-5D-2)y=0

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


Simplifying
(D2 + -5D + -2) * y = 0

Reorder the terms:
(-2 + -5D + D2) * y = 0

Reorder the terms for easier multiplication:
y(-2 + -5D + D2) = 0
(-2 * y + -5D * y + D2 * y) = 0
(-2y + -5yD + yD2) = 0

Solving
-2y + -5yD + 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(-2 + -5D + 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 '(-2 + -5D + D2)' equal to zero and attempt to solve:

Simplifying
-2 + -5D + D2 = 0

Solving
-2 + -5D + D2 = 0

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

Add '2' to each side of the equation.
-2 + -5D + 2 + D2 = 0 + 2

Reorder the terms:
-2 + 2 + -5D + D2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5D + D2 = 0 + 2
-5D + D2 = 0 + 2

Combine like terms: 0 + 2 = 2
-5D + D2 = 2

Add '5D' to each side of the equation.
-5D + 5D + D2 = 2 + 5D

Combine like terms: -5D + 5D = 0
0 + D2 = 2 + 5D
D2 = 2 + 5D

Add '-1D2' to each side of the equation.
D2 + -1D2 = 2 + 5D + -1D2

Combine like terms: D2 + -1D2 = 0
0 = 2 + 5D + -1D2

Simplifying
0 = 2 + 5D + -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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