F = u*v / u + v
multiply both sides by u+v.
F(u+v)=u*v
opening bracket
Fu+Fv=u*v
Fu=u*v-Fv
factor out v on the right hand side;
Fu=v(u-F)
dividing both sides by (u-F)
Fu/(u-F)=v
v=Fu/(u-F)
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