ydx+(x+y)st=0

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Solution for ydx+(x+y)st=0 equation:


Simplifying
ydx + (x + y) * st = 0

Reorder the terms for easier multiplication:
dxy + st(x + y) = 0
dxy + (x * st + y * st) = 0
dxy + (stx + sty) = 0

Solving
dxy + stx + sty = 0

Solving for variable 'd'.

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

Add '-1stx' to each side of the equation.
dxy + stx + -1stx + sty = 0 + -1stx

Combine like terms: stx + -1stx = 0
dxy + 0 + sty = 0 + -1stx
dxy + sty = 0 + -1stx
Remove the zero:
dxy + sty = -1stx

Add '-1sty' to each side of the equation.
dxy + sty + -1sty = -1stx + -1sty

Combine like terms: sty + -1sty = 0
dxy + 0 = -1stx + -1sty
dxy = -1stx + -1sty

Divide each side by 'xy'.
d = -1sty-1 + -1stx-1

Simplifying
d = -1sty-1 + -1stx-1

Reorder the terms:
d = -1stx-1 + -1sty-1

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