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

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


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

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

Reorder the terms for easier multiplication:
dx(15xy + 8x2) + (6x3y + 10x2) * dy = 0
(15xy * dx + 8x2 * dx) + (6x3y + 10x2) * dy = 0
(15dx2y + 8dx3) + (6x3y + 10x2) * dy = 0

Reorder the terms:
15dx2y + 8dx3 + (10x2 + 6x3y) * dy = 0

Reorder the terms for easier multiplication:
15dx2y + 8dx3 + dy(10x2 + 6x3y) = 0
15dx2y + 8dx3 + (10x2 * dy + 6x3y * dy) = 0
15dx2y + 8dx3 + (10dx2y + 6dx3y2) = 0

Reorder the terms:
15dx2y + 10dx2y + 8dx3 + 6dx3y2 = 0

Combine like terms: 15dx2y + 10dx2y = 25dx2y
25dx2y + 8dx3 + 6dx3y2 = 0

Solving
25dx2y + 8dx3 + 6dx3y2 = 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), 'dx2'.
dx2(25y + 8x + 6xy2) = 0


Subproblem 1
Set the factor 'dx2' equal to zero and attempt to solve:

Simplifying
dx2 = 0

Solving
dx2 = 0

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

Simplifying
dx2 = 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 '(25y + 8x + 6xy2)' equal to zero and attempt to solve:

Simplifying
25y + 8x + 6xy2 = 0

Reorder the terms:
8x + 6xy2 + 25y = 0

Solving
8x + 6xy2 + 25y = 0

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

Add '-8x' to each side of the equation.
8x + 6xy2 + -8x + 25y = 0 + -8x

Reorder the terms:
8x + -8x + 6xy2 + 25y = 0 + -8x

Combine like terms: 8x + -8x = 0
0 + 6xy2 + 25y = 0 + -8x
6xy2 + 25y = 0 + -8x
Remove the zero:
6xy2 + 25y = -8x

Add '-6xy2' to each side of the equation.
6xy2 + -6xy2 + 25y = -8x + -6xy2

Combine like terms: 6xy2 + -6xy2 = 0
0 + 25y = -8x + -6xy2
25y = -8x + -6xy2

Add '-25y' to each side of the equation.
25y + -25y = -8x + -6xy2 + -25y

Combine like terms: 25y + -25y = 0
0 = -8x + -6xy2 + -25y

Simplifying
0 = -8x + -6xy2 + -25y

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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