8/p=12p-3

Solution for 8/p=12p-3 equation:

D( p )

p = 0

p = 0

p = 0

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

8/p = 12*p-3 // - 12*p-3

8/p-(12*p)+3 = 0

8/p-12*p+3 = 0

8*p^-1-12*p^1+3*p^0 = 0

(3*p^1-12*p^2+8*p^0)/(p^1) = 0 // * p^2

p^1*(3*p^1-12*p^2+8*p^0) = 0

p^1

3*p-12*p^2+8 = 0

3*p-12*p^2+8 = 0

DELTA = 3^2-(-12*4*8)

DELTA = 393

DELTA > 0

p = (393^(1/2)-3)/(-12*2) or p = (-393^(1/2)-3)/(-12*2)

p = (393^(1/2)-3)/(-24) or p = (393^(1/2)+3)/24

p in { (393^(1/2)-3)/(-24), (393^(1/2)+3)/24} 

p in { (393^(1/2)-3)/(-24), (393^(1/2)+3)/24 }