6/p-12=3p-15/p-12-3/p

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Solution for 6/p-12=3p-15/p-12-3/p equation: 


D( p )

p = 0

p = 0

p = 0

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

6/p-12 = 3*p-(15/p)-(3/p)-12 // - 3*p-(15/p)-(3/p)-12

6/p-(3*p)+15/p+3/p-12+12 = 0

6/p-3*p+15/p+3/p-12+12 = 0

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

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

p^1*(24*p^0-3*p^2) = 0

p^1

24-3*p^2 = 0

24-3*p^2 = 0

DELTA = 0^2-(-3*4*24)

DELTA = 288

DELTA > 0

p = (288^(1/2)+0)/(-3*2) or p = (0-288^(1/2))/(-3*2)

p = -2*2^(1/2) or p = 2*2^(1/2)

p in { -2*2^(1/2), 2*2^(1/2)} 

p in { -2*2^(1/2), 2*2^(1/2) }

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