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

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


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

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

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

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

Multiply (2 + D) * (-1 + xD)
y(2(-1 + xD) + D(-1 + xD)) = 0
y((-1 * 2 + xD * 2) + D(-1 + xD)) = 0
y((-2 + 2xD) + D(-1 + xD)) = 0
y(-2 + 2xD + (-1 * D + xD * D)) = 0
y(-2 + 2xD + (-1D + xD2)) = 0

Reorder the terms:
y(-2 + -1D + 2xD + xD2) = 0
y(-2 + -1D + 2xD + xD2) = 0
(-2 * y + -1D * y + 2xD * y + xD2 * y) = 0

Reorder the terms:
(2xyD + xyD2 + -2y + -1yD) = 0
(2xyD + xyD2 + -2y + -1yD) = 0

Solving
2xyD + xyD2 + -2y + -1yD = 0

Solving for variable 'x'.

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

Add '2y' to each side of the equation.
2xyD + xyD2 + -2y + 2y + -1yD = 0 + 2y

Combine like terms: -2y + 2y = 0
2xyD + xyD2 + 0 + -1yD = 0 + 2y
2xyD + xyD2 + -1yD = 0 + 2y
Remove the zero:
2xyD + xyD2 + -1yD = 2y

Add 'yD' to each side of the equation.
2xyD + xyD2 + -1yD + yD = 2y + yD

Combine like terms: -1yD + yD = 0
2xyD + xyD2 + 0 = 2y + yD
2xyD + xyD2 = 2y + yD

Reorder the terms:
2xyD + xyD2 + -2y + -1yD = 2y + -2y + yD + -1yD

Combine like terms: 2y + -2y = 0
2xyD + xyD2 + -2y + -1yD = 0 + yD + -1yD
2xyD + xyD2 + -2y + -1yD = yD + -1yD

Combine like terms: yD + -1yD = 0
2xyD + xyD2 + -2y + -1yD = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(2xD + xD2 + -2 + -1D) = 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 '(2xD + xD2 + -2 + -1D)' equal to zero and attempt to solve: Simplifying 2xD + xD2 + -2 + -1D = 0 Reorder the terms: -2 + -1D + 2xD + xD2 = 0 Solving -2 + -1D + 2xD + xD2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1D + 2xD + 2 + xD2 = 0 + 2 Reorder the terms: -2 + 2 + -1D + 2xD + xD2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1D + 2xD + xD2 = 0 + 2 -1D + 2xD + xD2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1D + 2xD + xD2 = 2 Add 'D' to each side of the equation. -1D + 2xD + D + xD2 = 2 + D Reorder the terms: -1D + D + 2xD + xD2 = 2 + D Combine like terms: -1D + D = 0 0 + 2xD + xD2 = 2 + D 2xD + xD2 = 2 + D The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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