(5x/(x-5))=(25/(x-5))+6

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Solution for (5x/(x-5))=(25/(x-5))+6 equation: 


D( x )

x-5 = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

(5*x)/(x-5) = 25/(x-5)+6 // - 25/(x-5)+6

(5*x)/(x-5)-(25/(x-5))-6 = 0

(5*x)/(x-5)-25*(x-5)^-1-6 = 0

(5*x)/(x-5)-25/(x-5)-6 = 0

(5*x)/(x-5)-25/(x-5)+(-6*(x-5))/(x-5) = 0

5*x-6*(x-5)-25 = 0

5*x-6*x-25+30 = 0

5-x = 0

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

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

5-x = 0

5-x = 0 // - 5

-x = -5 // * -1

x = 5

x in { 5} 

x belongs to the empty set

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