(4-x)dy+(2y)dx=0

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Solution for (4-x)dy+(2y)dx=0 equation: 


Simplifying
(4 + -1x) * dy + (2y) * dx = 0

Reorder the terms for easier multiplication:
dy(4 + -1x) + (2y) * dx = 0
(4 * dy + -1x * dy) + (2y) * dx = 0

Reorder the terms:
(-1dxy + 4dy) + (2y) * dx = 0
(-1dxy + 4dy) + (2y) * dx = 0

Remove parenthesis around (2y)
-1dxy + 4dy + 2y * dx = 0

Multiply y * dx
-1dxy + 4dy + 2dxy = 0

Reorder the terms:
-1dxy + 2dxy + 4dy = 0

Combine like terms: -1dxy + 2dxy = 1dxy
1dxy + 4dy = 0

Solving
1dxy + 4dy = 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(x + 4) = 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 '(x + 4)' equal to zero and attempt to solve:

Simplifying
x + 4 = 0

Reorder the terms:
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Add '-1x' to each side of the equation.
x + -1x = -4 + -1x

Combine like terms: x + -1x = 0
0 = -4 + -1x

Simplifying
0 = -4 + -1x

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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