(x-a)/x=b

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Solution for (x-a)/x=b equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(x-a)/x = b // - b

(x-a)/x-b = 0

(x-a)/x+(-b*x)/x = 0

x-a-b*x = 0

x-a-(b*x) = 0

x-a-(b*x) = 0

-a-b*x = 0 // + a

-b*x = a // : -b

x = a/(-b)

x = -(a*b^-1)

a*b^-1+x = 0

(a*b^-1+x)/x = 0

(a*b^-1+x)/x = 0 // * x

a*b^-1+x = 0

a*b^-1+x = 0 // - a*b^-1

x = -(a*b^-1)

x = -(a*b^-1)

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