(x-2y)dx+xdy=0

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Solution for (x-2y)dx+xdy=0 equation: 


Simplifying
(x + -2y) * dx + xdy = 0

Reorder the terms for easier multiplication:
dx(x + -2y) + xdy = 0
(x * dx + -2y * dx) + xdy = 0

Reorder the terms:
(-2dxy + dx2) + xdy = 0
(-2dxy + dx2) + xdy = 0

Reorder the terms:
-2dxy + dxy + dx2 = 0

Combine like terms: -2dxy + dxy = -1dxy
-1dxy + dx2 = 0

Solving
-1dxy + dx2 = 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), 'dx'.
dx(-1y + x) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 0

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 '(-1y + x)' equal to zero and attempt to solve:

Simplifying
-1y + x = 0

Reorder the terms:
x + -1y = 0

Solving
x + -1y = 0

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

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

Combine like terms: x + -1x = 0
0 + -1y = 0 + -1x
-1y = 0 + -1x
Remove the zero:
-1y = -1x

Add 'y' to each side of the equation.
-1y + y = -1x + y

Combine like terms: -1y + y = 0
0 = -1x + y

Simplifying
0 = -1x + y

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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