(2x+3y-5)Dy=(3x+2y-5)DX

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Solution for (2x+3y-5)Dy=(3x+2y-5)DX equation: 


Simplifying
(2x + 3y + -5) * Dy = (3x + 2y + -5) * DX

Reorder the terms:
(-5 + 2x + 3y) * Dy = (3x + 2y + -5) * DX

Reorder the terms for easier multiplication:
yD(-5 + 2x + 3y) = (3x + 2y + -5) * DX
(-5 * yD + 2x * yD + 3y * yD) = (3x + 2y + -5) * DX

Reorder the terms:
(2xyD + -5yD + 3y2D) = (3x + 2y + -5) * DX
(2xyD + -5yD + 3y2D) = (3x + 2y + -5) * DX

Reorder the terms:
2xyD + -5yD + 3y2D = (-5 + 3x + 2y) * DX

Reorder the terms for easier multiplication:
2xyD + -5yD + 3y2D = DX(-5 + 3x + 2y)
2xyD + -5yD + 3y2D = (-5 * DX + 3x * DX + 2y * DX)
2xyD + -5yD + 3y2D = (-5DX + 3xDX + 2yDX)

Solving
2xyD + -5yD + 3y2D = -5DX + 3xDX + 2yDX

Solving for variable 'x'.

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

Add '-3xDX' to each side of the equation.
2xyD + -5yD + -3xDX + 3y2D = -5DX + 3xDX + -3xDX + 2yDX

Reorder the terms:
-3xDX + 2xyD + -5yD + 3y2D = -5DX + 3xDX + -3xDX + 2yDX

Combine like terms: 3xDX + -3xDX = 0
-3xDX + 2xyD + -5yD + 3y2D = -5DX + 0 + 2yDX
-3xDX + 2xyD + -5yD + 3y2D = -5DX + 2yDX

Add '5yD' to each side of the equation.
-3xDX + 2xyD + -5yD + 5yD + 3y2D = -5DX + 5yD + 2yDX

Combine like terms: -5yD + 5yD = 0
-3xDX + 2xyD + 0 + 3y2D = -5DX + 5yD + 2yDX
-3xDX + 2xyD + 3y2D = -5DX + 5yD + 2yDX

Add '-3y2D' to each side of the equation.
-3xDX + 2xyD + 3y2D + -3y2D = -5DX + 5yD + 2yDX + -3y2D

Combine like terms: 3y2D + -3y2D = 0
-3xDX + 2xyD + 0 = -5DX + 5yD + 2yDX + -3y2D
-3xDX + 2xyD = -5DX + 5yD + 2yDX + -3y2D

Reorder the terms:
5DX + -3xDX + 2xyD + -5yD + -2yDX + 3y2D = -5DX + 5yD + 2yDX + -3y2D + 5DX + -5yD + -2yDX + 3y2D

Reorder the terms:
5DX + -3xDX + 2xyD + -5yD + -2yDX + 3y2D = -5DX + 5DX + 5yD + -5yD + 2yDX + -2yDX + -3y2D + 3y2D

Combine like terms: -5DX + 5DX = 0
5DX + -3xDX + 2xyD + -5yD + -2yDX + 3y2D = 0 + 5yD + -5yD + 2yDX + -2yDX + -3y2D + 3y2D
5DX + -3xDX + 2xyD + -5yD + -2yDX + 3y2D = 5yD + -5yD + 2yDX + -2yDX + -3y2D + 3y2D

Combine like terms: 5yD + -5yD = 0
5DX + -3xDX + 2xyD + -5yD + -2yDX + 3y2D = 0 + 2yDX + -2yDX + -3y2D + 3y2D
5DX + -3xDX + 2xyD + -5yD + -2yDX + 3y2D = 2yDX + -2yDX + -3y2D + 3y2D

Combine like terms: 2yDX + -2yDX = 0
5DX + -3xDX + 2xyD + -5yD + -2yDX + 3y2D = 0 + -3y2D + 3y2D
5DX + -3xDX + 2xyD + -5yD + -2yDX + 3y2D = -3y2D + 3y2D

Combine like terms: -3y2D + 3y2D = 0
5DX + -3xDX + 2xyD + -5yD + -2yDX + 3y2D = 0

Factor out the Greatest Common Factor (GCF), 'D'.
D(5X + -3xX + 2xy + -5y + -2yX + 3y2) = 0


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

Simplifying
D = 0

Solving
D = 0

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

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

Simplifying
0 = -1D

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 '(5X + -3xX + 2xy + -5y + -2yX + 3y2)' equal to zero and attempt to solve:

Simplifying
5X + -3xX + 2xy + -5y + -2yX + 3y2 = 0

Solving
5X + -3xX + 2xy + -5y + -2yX + 3y2 = 0

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

Add '-5X' to each side of the equation.
5X + -3xX + 2xy + -5y + -2yX + -5X + 3y2 = 0 + -5X

Reorder the terms:
5X + -5X + -3xX + 2xy + -5y + -2yX + 3y2 = 0 + -5X

Combine like terms: 5X + -5X = 0
0 + -3xX + 2xy + -5y + -2yX + 3y2 = 0 + -5X
-3xX + 2xy + -5y + -2yX + 3y2 = 0 + -5X
Remove the zero:
-3xX + 2xy + -5y + -2yX + 3y2 = -5X

Add '5y' to each side of the equation.
-3xX + 2xy + -5y + -2yX + 5y + 3y2 = -5X + 5y

Reorder the terms:
-3xX + 2xy + -5y + 5y + -2yX + 3y2 = -5X + 5y

Combine like terms: -5y + 5y = 0
-3xX + 2xy + 0 + -2yX + 3y2 = -5X + 5y
-3xX + 2xy + -2yX + 3y2 = -5X + 5y

Add '2yX' to each side of the equation.
-3xX + 2xy + -2yX + 2yX + 3y2 = -5X + 5y + 2yX

Combine like terms: -2yX + 2yX = 0
-3xX + 2xy + 0 + 3y2 = -5X + 5y + 2yX
-3xX + 2xy + 3y2 = -5X + 5y + 2yX

Add '-3y2' to each side of the equation.
-3xX + 2xy + 3y2 + -3y2 = -5X + 5y + 2yX + -3y2

Combine like terms: 3y2 + -3y2 = 0
-3xX + 2xy + 0 = -5X + 5y + 2yX + -3y2
-3xX + 2xy = -5X + 5y + 2yX + -3y2

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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