(D^2-9)y=0

Solution for (D^2-9)y=0 equation:

Simplifying
(D2 + -9) * y = 0

Reorder the terms:
(-9 + D2) * y = 0

Reorder the terms for easier multiplication:
y(-9 + D2) = 0
(-9 * y + D2 * y) = 0
(-9y + yD2) = 0

Solving
-9y + 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(-9 + D2) = 0

Factor a difference between two squares.
y((3 + D)(-3 + D)) = 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 '(3 + D)' equal to zero and attempt to solve:

Simplifying
3 + D = 0

Solving
3 + D = 0

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

Add '-3' to each side of the equation.
3 + -3 + D = 0 + -3

Combine like terms: 3 + -3 = 0
0 + D = 0 + -3
D = 0 + -3

Combine like terms: 0 + -3 = -3
D = -3

Add '-1D' to each side of the equation.
D + -1D = -3 + -1D

Combine like terms: D + -1D = 0
0 = -3 + -1D

Simplifying
0 = -3 + -1D

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 '(-3 + D)' equal to zero and attempt to solve:

Simplifying
-3 + D = 0

Solving
-3 + D = 0

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

Add '3' to each side of the equation.
-3 + 3 + D = 0 + 3

Combine like terms: -3 + 3 = 0
0 + D = 0 + 3
D = 0 + 3

Combine like terms: 0 + 3 = 3
D = 3

Add '-1D' to each side of the equation.
D + -1D = 3 + -1D

Combine like terms: D + -1D = 0
0 = 3 + -1D

Simplifying
0 = 3 + -1D

The solution to this equation could not be determined.

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