(xy+y^2+x^2)-x^2dy=0

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Solution for (xy+y^2+x^2)-x^2dy=0 equation:


Simplifying
(xy + y2 + x2) + -1x2dy = 0

Reorder the terms:
(xy + x2 + y2) + -1x2dy = 0

Remove parenthesis around (xy + x2 + y2)
xy + x2 + y2 + -1x2dy = 0

Reorder the terms:
-1dx2y + xy + x2 + y2 = 0

Solving
-1dx2y + xy + x2 + y2 = 0

Solving for variable 'd'.

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

Add '-1xy' to each side of the equation.
-1dx2y + xy + x2 + -1xy + y2 = 0 + -1xy

Reorder the terms:
-1dx2y + xy + -1xy + x2 + y2 = 0 + -1xy

Combine like terms: xy + -1xy = 0
-1dx2y + 0 + x2 + y2 = 0 + -1xy
-1dx2y + x2 + y2 = 0 + -1xy
Remove the zero:
-1dx2y + x2 + y2 = -1xy

Add '-1x2' to each side of the equation.
-1dx2y + x2 + -1x2 + y2 = -1xy + -1x2

Combine like terms: x2 + -1x2 = 0
-1dx2y + 0 + y2 = -1xy + -1x2
-1dx2y + y2 = -1xy + -1x2

Add '-1y2' to each side of the equation.
-1dx2y + y2 + -1y2 = -1xy + -1x2 + -1y2

Combine like terms: y2 + -1y2 = 0
-1dx2y + 0 = -1xy + -1x2 + -1y2
-1dx2y = -1xy + -1x2 + -1y2

Divide each side by '-1x2y'.
d = x-1 + y-1 + x-2y

Simplifying
d = x-1 + y-1 + x-2y

Reorder the terms:
d = x-2y + x-1 + y-1

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