(6xy+4)dx+3x^2dy=0

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Solution for (6xy+4)dx+3x^2dy=0 equation: 


Simplifying
(6xy + 4) * dx + 3x2dy = 0

Reorder the terms:
(4 + 6xy) * dx + 3x2dy = 0

Reorder the terms for easier multiplication:
dx(4 + 6xy) + 3x2dy = 0
(4 * dx + 6xy * dx) + 3x2dy = 0
(4dx + 6dx2y) + 3x2dy = 0

Combine like terms: 6dx2y + 3dx2y = 9dx2y
4dx + 9dx2y = 0

Solving
4dx + 9dx2y = 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), 'dx'.
dx(4 + 9xy) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(4 + 9xy)' equal to zero and attempt to solve:

Simplifying
4 + 9xy = 0

Solving
4 + 9xy = 0

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

Add '-4' to each side of the equation.
4 + -4 + 9xy = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9xy = 0 + -4
9xy = 0 + -4

Combine like terms: 0 + -4 = -4
9xy = -4

Add '-9xy' to each side of the equation.
9xy + -9xy = -4 + -9xy

Combine like terms: 9xy + -9xy = 0
0 = -4 + -9xy

Simplifying
0 = -4 + -9xy

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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