25/(x-3)=10/x

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Solution for 25/(x-3)=10/x equation: 


D( x )

x = 0

x-3 = 0

x = 0

x = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:0) U (0:3) U (3:+oo)

25/(x-3) = 10/x // - 10/x

25/(x-3)-(10/x) = 0

25/(x-3)-10*x^-1 = 0

25/(x-3)-10/x = 0

(25*x)/(x*(x-3))+(-10*(x-3))/(x*(x-3)) = 0

25*x-10*(x-3) = 0

15*x+30 = 0

(15*x+30)/(x*(x-3)) = 0

(15*x+30)/(x*(x-3)) = 0 // * x*(x-3)

15*x+30 = 0

15*x+30 = 0 // - 30

15*x = -30 // : 15

x = -30/15

x = -2

x = -2

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