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

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


Simplifying
6xy * dx + (4y + 4x2) * dy = 0

Multiply xy * dx
6dx2y + (4y + 4x2) * dy = 0

Reorder the terms:
6dx2y + (4x2 + 4y) * dy = 0

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

Combine like terms: 6dx2y + 4dx2y = 10dx2y
10dx2y + 4dy2 = 0

Solving
10dx2y + 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), '2dy'.
2dy(5x2 + 2y) = 0

Ignore the factor 2.

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 '(5x2 + 2y)' equal to zero and attempt to solve:

Simplifying
5x2 + 2y = 0

Solving
5x2 + 2y = 0

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

Add '-5x2' to each side of the equation.
5x2 + -5x2 + 2y = 0 + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 + 2y = 0 + -5x2
2y = 0 + -5x2
Remove the zero:
2y = -5x2

Add '-2y' to each side of the equation.
2y + -2y = -5x2 + -2y

Combine like terms: 2y + -2y = 0
0 = -5x2 + -2y

Simplifying
0 = -5x2 + -2y

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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