(5/(5-x))-(2/(x-5))

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Solution for (5/(5-x))-(2/(x-5)) equation: 


D( x )

x-5 = 0

5-x = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

5-x = 0

5-x = 0

5-x = 0 // - 5

-x = -5 // * -1

x = 5

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

5/(5-x)-(2/(x-5)) = 0

5/(5-x)-2*(x-5)^-1 = 0

5/(5-x)-2/(x-5) = 0

(5*(x-5))/((5-x)*(x-5))+(-2*(5-x))/((5-x)*(x-5)) = 0

5*(x-5)-2*(5-x) = 0

7*x-35 = 0

(7*x-35)/((5-x)*(x-5)) = 0

(7*x-35)/((5-x)*(x-5)) = 0 // * (5-x)*(x-5)

7*x-35 = 0

7*x-35 = 0 // + 35

7*x = 35 // : 7

x = 35/7

x = 5

x in { 5} 

x belongs to the empty set

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