Xy*dy-3(y-2)*dx=0

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Solution for Xy*dy-3(y-2)*dx=0 equation: 


Simplifying
Xy * dy + -3(y + -2) * dx = 0

Multiply yX * dy
dy2X + -3(y + -2) * dx = 0

Reorder the terms:
dy2X + -3(-2 + y) * dx = 0

Reorder the terms for easier multiplication:
dy2X + -3dx(-2 + y) = 0
dy2X + (-2 * -3dx + y * -3dx) = 0
dy2X + (6dx + -3dxy) = 0

Reorder the terms:
6dx + -3dxy + dy2X = 0

Solving
6dx + -3dxy + dy2X = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'd'.
d(6x + -3xy + y2X) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(6x + -3xy + y2X)' equal to zero and attempt to solve:

Simplifying
6x + -3xy + y2X = 0

Solving
6x + -3xy + y2X = 0

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

Add '-6x' to each side of the equation.
6x + -3xy + -6x + y2X = 0 + -6x

Reorder the terms:
6x + -6x + -3xy + y2X = 0 + -6x

Combine like terms: 6x + -6x = 0
0 + -3xy + y2X = 0 + -6x
-3xy + y2X = 0 + -6x
Remove the zero:
-3xy + y2X = -6x

Add '3xy' to each side of the equation.
-3xy + 3xy + y2X = -6x + 3xy

Combine like terms: -3xy + 3xy = 0
0 + y2X = -6x + 3xy
y2X = -6x + 3xy

Add '-1y2X' to each side of the equation.
y2X + -1y2X = -6x + 3xy + -1y2X

Combine like terms: y2X + -1y2X = 0
0 = -6x + 3xy + -1y2X

Simplifying
0 = -6x + 3xy + -1y2X

The solution to this equation could not be determined.

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

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