8/(p-10)=16/(p-5)

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Solution for 8/(p-10)=16/(p-5) equation: 


D( p )

p-5 = 0

p-10 = 0

p-5 = 0

p-5 = 0

p-5 = 0 // + 5

p = 5

p-10 = 0

p-10 = 0

p-10 = 0 // + 10

p = 10

p in (-oo:5) U (5:10) U (10:+oo)

8/(p-10) = 16/(p-5) // - 16/(p-5)

8/(p-10)-(16/(p-5)) = 0

8/(p-10)-16*(p-5)^-1 = 0

8/(p-10)-16/(p-5) = 0

(8*(p-5))/((p-10)*(p-5))+(-16*(p-10))/((p-10)*(p-5)) = 0

8*(p-5)-16*(p-10) = 0

120-8*p = 0

(120-8*p)/((p-10)*(p-5)) = 0

(120-8*p)/((p-10)*(p-5)) = 0 // * (p-10)*(p-5)

120-8*p = 0

120-8*p = 0 // - 120

-8*p = -120 // : -8

p = -120/(-8)

p = 15

p = 15

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