(2ydx+3xdy)+2xy(3ydx+4xdy)=0

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Solution for (2ydx+3xdy)+2xy(3ydx+4xdy)=0 equation: 


Simplifying
(2ydx + 3xdy) + 2xy(3ydx + 4xdy) = 0

Combine like terms: 2dxy + 3dxy = 5dxy
(5dxy) + 2xy(3ydx + 4xdy) = 0
(5dxy) + 2xy(3ydx + 4xdy) = 0

Combine like terms: 3dxy + 4dxy = 7dxy
(5dxy) + 2xy(7dxy) = 0

Remove parenthesis around (7dxy)
(5dxy) + 2xy * 7dxy = 0

Reorder the terms for easier multiplication:
(5dxy) + 2 * 7xy * dxy = 0

Multiply 2 * 7
(5dxy) + 14xy * dxy = 0

Multiply xy * dxy
(5dxy) + 14dx2y2 = 0

Solving
(5dxy) + 14dx2y2 = 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), 'dxy'.
dxy(5 + 14xy) = 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 '(5 + 14xy)' equal to zero and attempt to solve:

Simplifying
5 + 14xy = 0

Solving
5 + 14xy = 0

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

Add '-5' to each side of the equation.
5 + -5 + 14xy = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 14xy = 0 + -5
14xy = 0 + -5

Combine like terms: 0 + -5 = -5
14xy = -5

Add '-14xy' to each side of the equation.
14xy + -14xy = -5 + -14xy

Combine like terms: 14xy + -14xy = 0
0 = -5 + -14xy

Simplifying
0 = -5 + -14xy

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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