15/p-20=3p-9/p-20-3/p

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Solution for 15/p-20=3p-9/p-20-3/p equation: 


D( p )

p = 0

p = 0

p = 0

p in (-oo:0) U (0:+oo)

15/p-20 = 3*p-(9/p)-(3/p)-20 // - 3*p-(9/p)-(3/p)-20

15/p-(3*p)+9/p+3/p-20+20 = 0

15/p-3*p+9/p+3/p-20+20 = 0

27*p^-1-3*p^1 = 0

(27*p^0-3*p^2)/(p^1) = 0 // * p^2

p^1*(27*p^0-3*p^2) = 0

p^1

27-3*p^2 = 0

27-3*p^2 = 0

DELTA = 0^2-(-3*4*27)

DELTA = 324

DELTA > 0

p = (324^(1/2)+0)/(-3*2) or p = (0-324^(1/2))/(-3*2)

p = -3 or p = 3

p in { -3, 3} 

p in { -3, 3 }

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