(3/(x-5))-(8/(5-x))

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Solution for (3/(x-5))-(8/(5-x)) 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)

3/(x-5)-(8/(5-x)) = 0

3/(x-5)-8*(5-x)^-1 = 0

3/(x-5)-8/(5-x) = 0

(3*(5-x))/((x-5)*(5-x))+(-8*(x-5))/((x-5)*(5-x)) = 0

3*(5-x)-8*(x-5) = 0

55-11*x = 0

(55-11*x)/((x-5)*(5-x)) = 0

(55-11*x)/((x-5)*(5-x)) = 0 // * (x-5)*(5-x)

55-11*x = 0

55-11*x = 0 // - 55

-11*x = -55 // : -11

x = -55/(-11)

x = 5

x in { 5} 

x belongs to the empty set

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