(6y-24xy^5)dy+(9x-56x^2y^4)dy=0

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Solution for (6y-24xy^5)dy+(9x-56x^2y^4)dy=0 equation: 


Simplifying
(6y + -24xy5) * dy + (9x + -56x2y4) * dy = 0

Reorder the terms:
(-24xy5 + 6y) * dy + (9x + -56x2y4) * dy = 0

Reorder the terms for easier multiplication:
dy(-24xy5 + 6y) + (9x + -56x2y4) * dy = 0
(-24xy5 * dy + 6y * dy) + (9x + -56x2y4) * dy = 0
(-24dxy6 + 6dy2) + (9x + -56x2y4) * dy = 0

Reorder the terms for easier multiplication:
-24dxy6 + 6dy2 + dy(9x + -56x2y4) = 0
-24dxy6 + 6dy2 + (9x * dy + -56x2y4 * dy) = 0
-24dxy6 + 6dy2 + (9dxy + -56dx2y5) = 0

Reorder the terms:
9dxy + -24dxy6 + -56dx2y5 + 6dy2 = 0

Solving
9dxy + -24dxy6 + -56dx2y5 + 6dy2 = 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(9x + -24xy5 + -56x2y4 + 6y) = 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 '(9x + -24xy5 + -56x2y4 + 6y)' equal to zero and attempt to solve:

Simplifying
9x + -24xy5 + -56x2y4 + 6y = 0

Solving
9x + -24xy5 + -56x2y4 + 6y = 0

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

Add '-9x' to each side of the equation.
9x + -24xy5 + -56x2y4 + -9x + 6y = 0 + -9x

Reorder the terms:
9x + -9x + -24xy5 + -56x2y4 + 6y = 0 + -9x

Combine like terms: 9x + -9x = 0
0 + -24xy5 + -56x2y4 + 6y = 0 + -9x
-24xy5 + -56x2y4 + 6y = 0 + -9x
Remove the zero:
-24xy5 + -56x2y4 + 6y = -9x

Add '24xy5' to each side of the equation.
-24xy5 + -56x2y4 + 24xy5 + 6y = -9x + 24xy5

Reorder the terms:
-24xy5 + 24xy5 + -56x2y4 + 6y = -9x + 24xy5

Combine like terms: -24xy5 + 24xy5 = 0
0 + -56x2y4 + 6y = -9x + 24xy5
-56x2y4 + 6y = -9x + 24xy5

Add '56x2y4' to each side of the equation.
-56x2y4 + 56x2y4 + 6y = -9x + 24xy5 + 56x2y4

Combine like terms: -56x2y4 + 56x2y4 = 0
0 + 6y = -9x + 24xy5 + 56x2y4
6y = -9x + 24xy5 + 56x2y4

Add '-6y' to each side of the equation.
6y + -6y = -9x + 24xy5 + 56x2y4 + -6y

Combine like terms: 6y + -6y = 0
0 = -9x + 24xy5 + 56x2y4 + -6y

Simplifying
0 = -9x + 24xy5 + 56x2y4 + -6y

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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