(6x+y)DX+xdy=0

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Solution for (6x+y)DX+xdy=0 equation: 


Simplifying
(6x + y) * DX + xdy = 0

Reorder the terms for easier multiplication:
DX(6x + y) + xdy = 0
(6x * DX + y * DX) + xdy = 0
(6xDX + yDX) + xdy = 0

Reorder the terms:
dxy + 6xDX + yDX = 0

Solving
dxy + 6xDX + yDX = 0

Solving for variable 'd'.

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

Add '-6xDX' to each side of the equation.
dxy + 6xDX + -6xDX + yDX = 0 + -6xDX

Combine like terms: 6xDX + -6xDX = 0
dxy + 0 + yDX = 0 + -6xDX
dxy + yDX = 0 + -6xDX
Remove the zero:
dxy + yDX = -6xDX

Add '-1yDX' to each side of the equation.
dxy + yDX + -1yDX = -6xDX + -1yDX

Combine like terms: yDX + -1yDX = 0
dxy + 0 = -6xDX + -1yDX
dxy = -6xDX + -1yDX

Divide each side by 'xy'.
d = -6y-1DX + -1x-1DX

Simplifying
d = -6y-1DX + -1x-1DX

Reorder the terms:
d = -1x-1DX + -6y-1DX

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