(D^2+2D-8)y=0

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Solution for (D^2+2D-8)y=0 equation: 


Simplifying
(D2 + 2D + -8) * y = 0

Reorder the terms:
(-8 + 2D + D2) * y = 0

Reorder the terms for easier multiplication:
y(-8 + 2D + D2) = 0
(-8 * y + 2D * y + D2 * y) = 0
(-8y + 2yD + yD2) = 0

Solving
-8y + 2yD + 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(-8 + 2D + D2) = 0

Factor a trinomial.
y((-4 + -1D)(2 + -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 '(-4 + -1D)' equal to zero and attempt to solve:

Simplifying
-4 + -1D = 0

Solving
-4 + -1D = 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 + -1D = 0 + 4

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

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

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

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

Simplifying
0 = 4 + 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 '(2 + -1D)' equal to zero and attempt to solve:

Simplifying
2 + -1D = 0

Solving
2 + -1D = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1D = 0 + -2

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

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

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

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

Simplifying
0 = -2 + 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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