(2xy^2-3)dx+(2x^2y+4)dy=0

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Solution for (2xy^2-3)dx+(2x^2y+4)dy=0 equation: 


Simplifying
(2xy2 + -3) * dx + (2x2y + 4) * dy = 0

Reorder the terms:
(-3 + 2xy2) * dx + (2x2y + 4) * dy = 0

Reorder the terms for easier multiplication:
dx(-3 + 2xy2) + (2x2y + 4) * dy = 0
(-3 * dx + 2xy2 * dx) + (2x2y + 4) * dy = 0
(-3dx + 2dx2y2) + (2x2y + 4) * dy = 0

Reorder the terms:
-3dx + 2dx2y2 + (4 + 2x2y) * dy = 0

Reorder the terms for easier multiplication:
-3dx + 2dx2y2 + dy(4 + 2x2y) = 0
-3dx + 2dx2y2 + (4 * dy + 2x2y * dy) = 0

Reorder the terms:
-3dx + 2dx2y2 + (2dx2y2 + 4dy) = 0
-3dx + 2dx2y2 + (2dx2y2 + 4dy) = 0

Combine like terms: 2dx2y2 + 2dx2y2 = 4dx2y2
-3dx + 4dx2y2 + 4dy = 0

Solving
-3dx + 4dx2y2 + 4dy = 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), 'd'.
d(-3x + 4x2y2 + 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 + 4x2y2 + 4y)' equal to zero and attempt to solve:

Simplifying
-3x + 4x2y2 + 4y = 0

Solving
-3x + 4x2y2 + 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 + 4x2y2 + 3x + 4y = 0 + 3x

Reorder the terms:
-3x + 3x + 4x2y2 + 4y = 0 + 3x

Combine like terms: -3x + 3x = 0
0 + 4x2y2 + 4y = 0 + 3x
4x2y2 + 4y = 0 + 3x
Remove the zero:
4x2y2 + 4y = 3x

Add '-4x2y2' to each side of the equation.
4x2y2 + -4x2y2 + 4y = 3x + -4x2y2

Combine like terms: 4x2y2 + -4x2y2 = 0
0 + 4y = 3x + -4x2y2
4y = 3x + -4x2y2

Add '-4y' to each side of the equation.
4y + -4y = 3x + -4x2y2 + -4y

Combine like terms: 4y + -4y = 0
0 = 3x + -4x2y2 + -4y

Simplifying
0 = 3x + -4x2y2 + -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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