Xdy+2ydx=3dx

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Solution for Xdy+2ydx=3dx equation: 


Simplifying
Xdy + 2ydx = 3dx

Reorder the terms:
2dxy + dyX = 3dx

Solving
2dxy + dyX = 3dx

Solving for variable 'd'.

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

Add '-3dx' to each side of the equation.
2dxy + -3dx + dyX = 3dx + -3dx

Reorder the terms:
-3dx + 2dxy + dyX = 3dx + -3dx

Combine like terms: 3dx + -3dx = 0
-3dx + 2dxy + dyX = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(-3x + 2xy + yX) = 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 '(-3x + 2xy + yX)' equal to zero and attempt to solve:

Simplifying
-3x + 2xy + yX = 0

Solving
-3x + 2xy + yX = 0

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

Add '3x' to each side of the equation.
-3x + 2xy + 3x + yX = 0 + 3x

Reorder the terms:
-3x + 3x + 2xy + yX = 0 + 3x

Combine like terms: -3x + 3x = 0
0 + 2xy + yX = 0 + 3x
2xy + yX = 0 + 3x
Remove the zero:
2xy + yX = 3x

Add '-2xy' to each side of the equation.
2xy + -2xy + yX = 3x + -2xy

Combine like terms: 2xy + -2xy = 0
0 + yX = 3x + -2xy
yX = 3x + -2xy

Add '-1yX' to each side of the equation.
yX + -1yX = 3x + -2xy + -1yX

Combine like terms: yX + -1yX = 0
0 = 3x + -2xy + -1yX

Simplifying
0 = 3x + -2xy + -1yX

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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