(2yx+4)dy=(3-2yx)dx

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Solution for (2yx+4)dy=(3-2yx)dx equation: 


Simplifying
(2yx + 4) * dy = (3 + -2yx) * dx

Reorder the terms:
(4 + 2xy) * dy = (3 + -2yx) * dx

Reorder the terms for easier multiplication:
dy(4 + 2xy) = (3 + -2yx) * dx
(4 * dy + 2xy * dy) = (3 + -2yx) * dx

Reorder the terms:
(2dxy2 + 4dy) = (3 + -2yx) * dx
(2dxy2 + 4dy) = (3 + -2yx) * dx

Reorder the terms for easier multiplication:
2dxy2 + 4dy = dx(3 + -2xy)
2dxy2 + 4dy = (3 * dx + -2xy * dx)
2dxy2 + 4dy = (3dx + -2dx2y)

Solving
2dxy2 + 4dy = 3dx + -2dx2y

Solving for variable 'd'.

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

Add '-3dx' to each side of the equation.
2dxy2 + -3dx + 4dy = 3dx + -3dx + -2dx2y

Reorder the terms:
-3dx + 2dxy2 + 4dy = 3dx + -3dx + -2dx2y

Combine like terms: 3dx + -3dx = 0
-3dx + 2dxy2 + 4dy = 0 + -2dx2y
-3dx + 2dxy2 + 4dy = -2dx2y

Add '2dx2y' to each side of the equation.
-3dx + 2dxy2 + 2dx2y + 4dy = -2dx2y + 2dx2y

Combine like terms: -2dx2y + 2dx2y = 0
-3dx + 2dxy2 + 2dx2y + 4dy = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(-3x + 2xy2 + 2x2y + 4y) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(-3x + 2xy2 + 2x2y + 4y)' equal to zero and attempt to solve:

Simplifying
-3x + 2xy2 + 2x2y + 4y = 0

Solving
-3x + 2xy2 + 2x2y + 4y = 0

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

Add '3x' to each side of the equation.
-3x + 2xy2 + 2x2y + 3x + 4y = 0 + 3x

Reorder the terms:
-3x + 3x + 2xy2 + 2x2y + 4y = 0 + 3x

Combine like terms: -3x + 3x = 0
0 + 2xy2 + 2x2y + 4y = 0 + 3x
2xy2 + 2x2y + 4y = 0 + 3x
Remove the zero:
2xy2 + 2x2y + 4y = 3x

Add '-2xy2' to each side of the equation.
2xy2 + 2x2y + -2xy2 + 4y = 3x + -2xy2

Reorder the terms:
2xy2 + -2xy2 + 2x2y + 4y = 3x + -2xy2

Combine like terms: 2xy2 + -2xy2 = 0
0 + 2x2y + 4y = 3x + -2xy2
2x2y + 4y = 3x + -2xy2

Add '-2x2y' to each side of the equation.
2x2y + -2x2y + 4y = 3x + -2xy2 + -2x2y

Combine like terms: 2x2y + -2x2y = 0
0 + 4y = 3x + -2xy2 + -2x2y
4y = 3x + -2xy2 + -2x2y

Add '-4y' to each side of the equation.
4y + -4y = 3x + -2xy2 + -2x2y + -4y

Combine like terms: 4y + -4y = 0
0 = 3x + -2xy2 + -2x2y + -4y

Simplifying
0 = 3x + -2xy2 + -2x2y + -4y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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