(8x^3y^2+12x^2y^2)dx+(8x^4y+16x^3y+9)dy=0

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Solution for (8x^3y^2+12x^2y^2)dx+(8x^4y+16x^3y+9)dy=0 equation: 


Simplifying
(8x3y2 + 12x2y2) * dx + (8x4y + 16x3y + 9) * dy = 0

Reorder the terms:
(12x2y2 + 8x3y2) * dx + (8x4y + 16x3y + 9) * dy = 0

Reorder the terms for easier multiplication:
dx(12x2y2 + 8x3y2) + (8x4y + 16x3y + 9) * dy = 0
(12x2y2 * dx + 8x3y2 * dx) + (8x4y + 16x3y + 9) * dy = 0
(12dx3y2 + 8dx4y2) + (8x4y + 16x3y + 9) * dy = 0

Reorder the terms:
12dx3y2 + 8dx4y2 + (9 + 16x3y + 8x4y) * dy = 0

Reorder the terms for easier multiplication:
12dx3y2 + 8dx4y2 + dy(9 + 16x3y + 8x4y) = 0
12dx3y2 + 8dx4y2 + (9 * dy + 16x3y * dy + 8x4y * dy) = 0

Reorder the terms:
12dx3y2 + 8dx4y2 + (16dx3y2 + 8dx4y2 + 9dy) = 0
12dx3y2 + 8dx4y2 + (16dx3y2 + 8dx4y2 + 9dy) = 0

Reorder the terms:
12dx3y2 + 16dx3y2 + 8dx4y2 + 8dx4y2 + 9dy = 0

Combine like terms: 12dx3y2 + 16dx3y2 = 28dx3y2
28dx3y2 + 8dx4y2 + 8dx4y2 + 9dy = 0

Combine like terms: 8dx4y2 + 8dx4y2 = 16dx4y2
28dx3y2 + 16dx4y2 + 9dy = 0

Solving
28dx3y2 + 16dx4y2 + 9dy = 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), 'dy'.
dy(28x3y + 16x4y + 9) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(28x3y + 16x4y + 9)' equal to zero and attempt to solve:

Simplifying
28x3y + 16x4y + 9 = 0

Reorder the terms:
9 + 28x3y + 16x4y = 0

Solving
9 + 28x3y + 16x4y = 0

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

Add '-9' to each side of the equation.
9 + 28x3y + -9 + 16x4y = 0 + -9

Reorder the terms:
9 + -9 + 28x3y + 16x4y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 28x3y + 16x4y = 0 + -9
28x3y + 16x4y = 0 + -9

Combine like terms: 0 + -9 = -9
28x3y + 16x4y = -9

Add '-28x3y' to each side of the equation.
28x3y + -28x3y + 16x4y = -9 + -28x3y

Combine like terms: 28x3y + -28x3y = 0
0 + 16x4y = -9 + -28x3y
16x4y = -9 + -28x3y

Add '-16x4y' to each side of the equation.
16x4y + -16x4y = -9 + -28x3y + -16x4y

Combine like terms: 16x4y + -16x4y = 0
0 = -9 + -28x3y + -16x4y

Simplifying
0 = -9 + -28x3y + -16x4y

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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