Solve for x but b does not equal 0

Question

A/x+x/b=c

Solve for x but b does not equal 0

Answer 1

A/X + X/B = C

A/X = C - X/B

(A/X)*B = (C - X/B)*B

AB/X = BC - X

(AB/X)*X = (BC - X)*X

AB = BCX - X²

0 = -X² + BCX - AB

Use quadratic formula where a = -1 , b = BC, c = -AB

X = (-BC ± √(BC² - 4(-1)(-AB))) / 2(-1)