2(xy+y)dx=xdy

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Solution for 2(xy+y)dx=xdy equation: 


Simplifying
2(xy + y) * dx = xdy

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

Reorder the terms:
(2dxy + 2dx2y) = xdy
(2dxy + 2dx2y) = xdy

Solving
2dxy + 2dx2y = dxy

Solving for variable 'd'.

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

Add '-1dxy' to each side of the equation.
2dxy + -1dxy + 2dx2y = dxy + -1dxy

Combine like terms: 2dxy + -1dxy = 1dxy
1dxy + 2dx2y = dxy + -1dxy

Combine like terms: dxy + -1dxy = 0
1dxy + 2dx2y = 0

Factor out the Greatest Common Factor (GCF), 'dxy'.
dxy(1 + 2x) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

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

Combine like terms: 2x + -2x = 0
0 = -1 + -2x

Simplifying
0 = -1 + -2x

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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