Question

Rearrange this equation to isolate c a=b(1/c - 1/d)

Answer 1

$a = b ( \frac{1}{c}- \frac{1}{d}) \\ a = \frac{b}{c}- \frac{b}{d} \\ \frac{b}{c}=a+ \frac{b}{d} \\ \frac{b}{c}= \frac{ad+b}{d} \\ c = b : \frac{ad+b}{d} \\ c = \frac{bd}{ad+b}$