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

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

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

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

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

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

Simplifying
2 + 2D + D2 = 0

Solving
2 + 2D + 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 + 2D + -2 + D2 = 0 + -2

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

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

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

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

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

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

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

Simplifying
0 = -2 + -2D + -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}