(8x^2y^2+15xy)dx+(6x^3y+10x^2)dy=0

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Solution for (8x^2y^2+15xy)dx+(6x^3y+10x^2)dy=0 equation: 


Simplifying
(8x2y2 + 15xy) * dx + (6x3y + 10x2) * dy = 0

Reorder the terms:
(15xy + 8x2y2) * dx + (6x3y + 10x2) * dy = 0

Reorder the terms for easier multiplication:
dx(15xy + 8x2y2) + (6x3y + 10x2) * dy = 0
(15xy * dx + 8x2y2 * dx) + (6x3y + 10x2) * dy = 0
(15dx2y + 8dx3y2) + (6x3y + 10x2) * dy = 0

Reorder the terms:
15dx2y + 8dx3y2 + (10x2 + 6x3y) * dy = 0

Reorder the terms for easier multiplication:
15dx2y + 8dx3y2 + dy(10x2 + 6x3y) = 0
15dx2y + 8dx3y2 + (10x2 * dy + 6x3y * dy) = 0
15dx2y + 8dx3y2 + (10dx2y + 6dx3y2) = 0

Reorder the terms:
15dx2y + 10dx2y + 8dx3y2 + 6dx3y2 = 0

Combine like terms: 15dx2y + 10dx2y = 25dx2y
25dx2y + 8dx3y2 + 6dx3y2 = 0

Combine like terms: 8dx3y2 + 6dx3y2 = 14dx3y2
25dx2y + 14dx3y2 = 0

Solving
25dx2y + 14dx3y2 = 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), 'dx2y'.
dx2y(25 + 14xy) = 0


Subproblem 1
Set the factor 'dx2y' equal to zero and attempt to solve:

Simplifying
dx2y = 0

Solving
dx2y = 0

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

Simplifying
dx2y = 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 '(25 + 14xy)' equal to zero and attempt to solve:

Simplifying
25 + 14xy = 0

Solving
25 + 14xy = 0

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

Add '-25' to each side of the equation.
25 + -25 + 14xy = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 14xy = 0 + -25
14xy = 0 + -25

Combine like terms: 0 + -25 = -25
14xy = -25

Add '-14xy' to each side of the equation.
14xy + -14xy = -25 + -14xy

Combine like terms: 14xy + -14xy = 0
0 = -25 + -14xy

Simplifying
0 = -25 + -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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