5/(5-p)-15/(p-5)

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Solution for 5/(5-p)-15/(p-5) equation: 


D( p )

p-5 = 0

5-p = 0

p-5 = 0

p-5 = 0

p-5 = 0 // + 5

p = 5

5-p = 0

5-p = 0

5-p = 0 // - 5

-p = -5 // * -1

p = 5

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

5/(5-p)-(15/(p-5)) = 0

5/(5-p)-15*(p-5)^-1 = 0

5/(5-p)-15/(p-5) = 0

(5*(p-5))/((5-p)*(p-5))+(-15*(5-p))/((5-p)*(p-5)) = 0

5*(p-5)-15*(5-p) = 0

20*p-100 = 0

(20*p-100)/((5-p)*(p-5)) = 0

(20*p-100)/((5-p)*(p-5)) = 0 // * (5-p)*(p-5)

20*p-100 = 0

20*p-100 = 0 // + 100

20*p = 100 // : 20

p = 100/20

p = 5

p in { 5} 

p belongs to the empty set

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