6Xydx+(4y+9x^2)dy=0

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Solution for 6Xydx+(4y+9x^2)dy=0 equation: 


Simplifying
6Xydx + (4y + 9x2) * dy = 0

Reorder the terms:
6dxyX + (9x2 + 4y) * dy = 0

Reorder the terms for easier multiplication:
6dxyX + dy(9x2 + 4y) = 0
6dxyX + (9x2 * dy + 4y * dy) = 0
6dxyX + (9dx2y + 4dy2) = 0

Solving
6dxyX + 9dx2y + 4dy2 = 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(6xX + 9x2 + 4y) = 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 '(6xX + 9x2 + 4y)' equal to zero and attempt to solve:

Simplifying
6xX + 9x2 + 4y = 0

Solving
6xX + 9x2 + 4y = 0

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

Add '-6xX' to each side of the equation.
6xX + 9x2 + -6xX + 4y = 0 + -6xX

Reorder the terms:
6xX + -6xX + 9x2 + 4y = 0 + -6xX

Combine like terms: 6xX + -6xX = 0
0 + 9x2 + 4y = 0 + -6xX
9x2 + 4y = 0 + -6xX
Remove the zero:
9x2 + 4y = -6xX

Add '-9x2' to each side of the equation.
9x2 + -9x2 + 4y = -6xX + -9x2

Combine like terms: 9x2 + -9x2 = 0
0 + 4y = -6xX + -9x2
4y = -6xX + -9x2

Add '-4y' to each side of the equation.
4y + -4y = -6xX + -9x2 + -4y

Combine like terms: 4y + -4y = 0
0 = -6xX + -9x2 + -4y

Simplifying
0 = -6xX + -9x2 + -4y

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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