(xD+2)(xD-1)y=0

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Solution for (xD+2)(xD-1)y=0 equation: 


Simplifying
(xD + 2)(xD + -1) * y = 0

Reorder the terms:
(2 + xD)(xD + -1) * y = 0

Reorder the terms:
(2 + xD)(-1 + xD) * y = 0

Reorder the terms for easier multiplication:
y(2 + xD)(-1 + xD) = 0

Multiply (2 + xD) * (-1 + xD)
y(2(-1 + xD) + xD(-1 + xD)) = 0
y((-1 * 2 + xD * 2) + xD(-1 + xD)) = 0
y((-2 + 2xD) + xD(-1 + xD)) = 0
y(-2 + 2xD + (-1 * xD + xD * xD)) = 0
y(-2 + 2xD + (-1xD + x2D2)) = 0

Combine like terms: 2xD + -1xD = 1xD
y(-2 + 1xD + x2D2) = 0
(-2 * y + 1xD * y + x2D2 * y) = 0

Reorder the terms:
(1xyD + x2yD2 + -2y) = 0
(1xyD + x2yD2 + -2y) = 0

Solving
1xyD + x2yD2 + -2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(xD + x2D2 + -2) = 0

Factor a trinomial.
y((xD + -1)(xD + 2)) = 0


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

Simplifying
y = 0

Solving
y = 0

Move all terms containing x 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 '(xD + -1)' equal to zero and attempt to solve:

Simplifying
xD + -1 = 0

Reorder the terms:
-1 + xD = 0

Solving
-1 + xD = 0

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

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

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

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

Divide each side by 'D'.
x = D-1

Simplifying
x = D-1

Subproblem 3
Set the factor '(xD + 2)' equal to zero and attempt to solve:

Simplifying
xD + 2 = 0

Reorder the terms:
2 + xD = 0

Solving
2 + xD = 0

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

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

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

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

Divide each side by 'D'.
x = -2D-1

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

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