5/x=25/(5x-5)

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Solution for 5/x=25/(5x-5) equation: 


D( x )

x = 0

5*x-5 = 0

x = 0

x = 0

5*x-5 = 0

5*x-5 = 0

5*x-5 = 0 // + 5

5*x = 5 // : 5

x = 5/5

x = 1

x in (-oo:0) U (0:1) U (1:+oo)

5/x = 25/(5*x-5) // - 25/(5*x-5)

5/x-(25/(5*x-5)) = 0

5/x-25*(5*x-5)^-1 = 0

5/x-25/(5*x-5) = 0

(-25*x)/(x*(5*x-5))+(5*(5*x-5))/(x*(5*x-5)) = 0

5*(5*x-5)-25*x = 0

-25 = 0

-25/(x*(5*x-5)) = 0

-25/(x*(5*x-5)) = 0 // * x*(5*x-5)

-25 = 0

x belongs to the empty set

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