(D*2-6D+9)y=0

Solution for (D*2-6D+9)y=0 equation:

Simplifying
(D * 2 + -6D + 9) * y = 0

Reorder the terms for easier multiplication:
(2D + -6D + 9) * y = 0

Reorder the terms:
(9 + 2D + -6D) * y = 0

Combine like terms: 2D + -6D = -4D
(9 + -4D) * y = 0

Reorder the terms for easier multiplication:
y(9 + -4D) = 0
(9 * y + -4D * y) = 0
(9y + -4yD) = 0

Solving
9y + -4yD = 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 + -4D) = 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 '(9 + -4D)' equal to zero and attempt to solve:

Simplifying
9 + -4D = 0

Solving
9 + -4D = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4D = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4D = 0 + -9
-4D = 0 + -9

Combine like terms: 0 + -9 = -9
-4D = -9

Add '4D' to each side of the equation.
-4D + 4D = -9 + 4D

Combine like terms: -4D + 4D = 0
0 = -9 + 4D

Simplifying
0 = -9 + 4D

The solution to this equation could not be determined.

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