Rearrange to isolate c

Rearrange to isolate c

a=b[(1/c)-(1/d)]

a=b[(1/c)-(1/d)]
a/b = 1/c - 1/d
a/b + 1/d = 1/c
Raise both sides to the -1 power (flip everything)


1 / (a/b + 1/d) = c
c = 1/ ( (ad+b)/bd)
c = bd/(ad+b)