2ydx+(xy+3x)=0

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Solution for 2ydx+(xy+3x)=0 equation:


Simplifying
2ydx + (xy + 3x) = 0

Reorder the terms:
2dxy + (3x + xy) = 0

Remove parenthesis around (3x + xy)
2dxy + 3x + xy = 0

Solving
2dxy + 3x + xy = 0

Solving for variable 'd'.

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

Add '-3x' to each side of the equation.
2dxy + 3x + -3x + xy = 0 + -3x

Combine like terms: 3x + -3x = 0
2dxy + 0 + xy = 0 + -3x
2dxy + xy = 0 + -3x
Remove the zero:
2dxy + xy = -3x

Add '-1xy' to each side of the equation.
2dxy + xy + -1xy = -3x + -1xy

Combine like terms: xy + -1xy = 0
2dxy + 0 = -3x + -1xy
2dxy = -3x + -1xy

Divide each side by '2xy'.
d = -1.5y-1 + -0.5

Simplifying
d = -1.5y-1 + -0.5

Reorder the terms:
d = -0.5 + -1.5y-1

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