(D^2-3D+2)Y=0

Solution for (D^2-3D+2)Y=0 equation:

Simplifying
(D2 + -3D + 2) * Y = 0

Reorder the terms:
(2 + -3D + D2) * Y = 0

Reorder the terms for easier multiplication:
Y(2 + -3D + D2) = 0
(2 * Y + -3D * Y + D2 * Y) = 0

Reorder the terms:
(-3DY + D2Y + 2Y) = 0
(-3DY + D2Y + 2Y) = 0

Solving
-3DY + D2Y + 2Y = 0

Solving for variable 'D'.

Factor out the Greatest Common Factor (GCF), 'Y'.
Y(-3D + D2 + 2) = 0

Factor a trinomial.
Y((D + -2)(D + -1)) = 0

Subproblem 1
Set the factor 'Y' equal to zero and attempt to solve:

Simplifying
Y = 0

Solving
Y = 0

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

Add '-1Y' to each side of the equation.
Y + -1Y = 0 + -1Y
Remove the zero:
0 = -1Y

Simplifying
0 = -1Y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(D + -2)' equal to zero and attempt to solve:

Simplifying
D + -2 = 0

Reorder the terms:
-2 + D = 0

Solving
-2 + D = 0

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

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

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

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

Simplifying
D = 2
Subproblem 3
Set the factor '(D + -1)' equal to zero and attempt to solve:

Simplifying
D + -1 = 0

Reorder the terms:
-1 + D = 0

Solving
-1 + D = 0

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

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

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

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

Simplifying
D = 1
Solution
D = {2, 1}