ydx+(7x+40y)dy=0

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Solution for ydx+(7x+40y)dy=0 equation: 


Simplifying
ydx + (7x + 40y) * dy = 0

Reorder the terms for easier multiplication:
dxy + dy(7x + 40y) = 0
dxy + (7x * dy + 40y * dy) = 0
dxy + (7dxy + 40dy2) = 0

Combine like terms: dxy + 7dxy = 8dxy
8dxy + 40dy2 = 0

Solving
8dxy + 40dy2 = 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), '8dy'.
8dy(x + 5y) = 0

Ignore the factor 8.

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

Simplifying
x + 5y = 0

Solving
x + 5y = 0

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

Add '-1x' to each side of the equation.
x + -1x + 5y = 0 + -1x

Combine like terms: x + -1x = 0
0 + 5y = 0 + -1x
5y = 0 + -1x
Remove the zero:
5y = -1x

Add '-5y' to each side of the equation.
5y + -5y = -1x + -5y

Combine like terms: 5y + -5y = 0
0 = -1x + -5y

Simplifying
0 = -1x + -5y

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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