(5x+xy)dy+(y^2)(1-2x)dx=0

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Solution for (5x+xy)dy+(y^2)(1-2x)dx=0 equation: 


Simplifying
(5x + xy) * dy + (y2)(1 + -2x) * dx = 0

Reorder the terms for easier multiplication:
dy(5x + xy) + (y2)(1 + -2x) * dx = 0
(5x * dy + xy * dy) + (y2)(1 + -2x) * dx = 0
(5dxy + dxy2) + (y2)(1 + -2x) * dx = 0

Reorder the terms for easier multiplication:
5dxy + dxy2 + y2 * dx(1 + -2x) = 0

Multiply y2 * dx
5dxy + dxy2 + dxy2(1 + -2x) = 0
5dxy + dxy2 + (1 * dxy2 + -2x * dxy2) = 0
5dxy + dxy2 + (1dxy2 + -2dx2y2) = 0

Combine like terms: dxy2 + 1dxy2 = 2dxy2
5dxy + 2dxy2 + -2dx2y2 = 0

Solving
5dxy + 2dxy2 + -2dx2y2 = 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 + 2y + -2xy) = 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 + 2y + -2xy)' equal to zero and attempt to solve:

Simplifying
5 + 2y + -2xy = 0

Reorder the terms:
5 + -2xy + 2y = 0

Solving
5 + -2xy + 2y = 0

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

Add '-5' to each side of the equation.
5 + -2xy + -5 + 2y = 0 + -5

Reorder the terms:
5 + -5 + -2xy + 2y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2xy + 2y = 0 + -5
-2xy + 2y = 0 + -5

Combine like terms: 0 + -5 = -5
-2xy + 2y = -5

Add '2xy' to each side of the equation.
-2xy + 2xy + 2y = -5 + 2xy

Combine like terms: -2xy + 2xy = 0
0 + 2y = -5 + 2xy
2y = -5 + 2xy

Add '-2y' to each side of the equation.
2y + -2y = -5 + 2xy + -2y

Combine like terms: 2y + -2y = 0
0 = -5 + 2xy + -2y

Simplifying
0 = -5 + 2xy + -2y

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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