xy*dx-(2x+4y)*dy=0

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Solution for xy*dx-(2x+4y)*dy=0 equation: 


Simplifying
xy * dx + -1(2x + 4y) * dy = 0

Multiply xy * dx
dx2y + -1(2x + 4y) * dy = 0

Reorder the terms for easier multiplication:
dx2y + -1dy(2x + 4y) = 0
dx2y + (2x * -1dy + 4y * -1dy) = 0
dx2y + (-2dxy + -4dy2) = 0

Reorder the terms:
-2dxy + dx2y + -4dy2 = 0

Solving
-2dxy + dx2y + -4dy2 = 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), 'dy'.
dy(-2x + x2 + -4y) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(-2x + x2 + -4y)' equal to zero and attempt to solve:

Simplifying
-2x + x2 + -4y = 0

Solving
-2x + x2 + -4y = 0

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

Add '2x' to each side of the equation.
-2x + x2 + 2x + -4y = 0 + 2x

Reorder the terms:
-2x + 2x + x2 + -4y = 0 + 2x

Combine like terms: -2x + 2x = 0
0 + x2 + -4y = 0 + 2x
x2 + -4y = 0 + 2x
Remove the zero:
x2 + -4y = 2x

Add '-1x2' to each side of the equation.
x2 + -1x2 + -4y = 2x + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -4y = 2x + -1x2
-4y = 2x + -1x2

Add '4y' to each side of the equation.
-4y + 4y = 2x + -1x2 + 4y

Combine like terms: -4y + 4y = 0
0 = 2x + -1x2 + 4y

Simplifying
0 = 2x + -1x2 + 4y

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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