(2y^2x+4)dx+(3y^2x^2+8)dy=0

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Solution for (2y^2x+4)dx+(3y^2x^2+8)dy=0 equation: 


Simplifying
(2y2x + 4) * dx + (3y2x2 + 8) * dy = 0

Reorder the terms:
(4 + 2xy2) * dx + (3y2x2 + 8) * dy = 0

Reorder the terms for easier multiplication:
dx(4 + 2xy2) + (3y2x2 + 8) * dy = 0
(4 * dx + 2xy2 * dx) + (3y2x2 + 8) * dy = 0
(4dx + 2dx2y2) + (3y2x2 + 8) * dy = 0

Reorder the terms:
4dx + 2dx2y2 + (8 + 3x2y2) * dy = 0

Reorder the terms for easier multiplication:
4dx + 2dx2y2 + dy(8 + 3x2y2) = 0
4dx + 2dx2y2 + (8 * dy + 3x2y2 * dy) = 0

Reorder the terms:
4dx + 2dx2y2 + (3dx2y3 + 8dy) = 0
4dx + 2dx2y2 + (3dx2y3 + 8dy) = 0

Solving
4dx + 2dx2y2 + 3dx2y3 + 8dy = 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(4x + 2x2y2 + 3x2y3 + 8y) = 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 '(4x + 2x2y2 + 3x2y3 + 8y)' equal to zero and attempt to solve:

Simplifying
4x + 2x2y2 + 3x2y3 + 8y = 0

Solving
4x + 2x2y2 + 3x2y3 + 8y = 0

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

Add '-4x' to each side of the equation.
4x + 2x2y2 + 3x2y3 + -4x + 8y = 0 + -4x

Reorder the terms:
4x + -4x + 2x2y2 + 3x2y3 + 8y = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + 2x2y2 + 3x2y3 + 8y = 0 + -4x
2x2y2 + 3x2y3 + 8y = 0 + -4x
Remove the zero:
2x2y2 + 3x2y3 + 8y = -4x

Add '-2x2y2' to each side of the equation.
2x2y2 + 3x2y3 + -2x2y2 + 8y = -4x + -2x2y2

Reorder the terms:
2x2y2 + -2x2y2 + 3x2y3 + 8y = -4x + -2x2y2

Combine like terms: 2x2y2 + -2x2y2 = 0
0 + 3x2y3 + 8y = -4x + -2x2y2
3x2y3 + 8y = -4x + -2x2y2

Add '-3x2y3' to each side of the equation.
3x2y3 + -3x2y3 + 8y = -4x + -2x2y2 + -3x2y3

Combine like terms: 3x2y3 + -3x2y3 = 0
0 + 8y = -4x + -2x2y2 + -3x2y3
8y = -4x + -2x2y2 + -3x2y3

Add '-8y' to each side of the equation.
8y + -8y = -4x + -2x2y2 + -3x2y3 + -8y

Combine like terms: 8y + -8y = 0
0 = -4x + -2x2y2 + -3x2y3 + -8y

Simplifying
0 = -4x + -2x2y2 + -3x2y3 + -8y

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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