60/p=p-32

Solution for 60/p=p-32 equation:

D( p )

p = 0

p = 0

p = 0

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

60/p = p-32 // - p-32

60/p-p+32 = 0

60*p^-1-1*p^1+32*p^0 = 0

(32*p^1-1*p^2+60*p^0)/(p^1) = 0 // * p^2

p^1*(32*p^1-1*p^2+60*p^0) = 0

p^1

32*p-p^2+60 = 0

32*p-p^2+60 = 0

DELTA = 32^2-(-1*4*60)

DELTA = 1264

DELTA > 0

p = (1264^(1/2)-32)/(-1*2) or p = (-1264^(1/2)-32)/(-1*2)

p = (4*79^(1/2)-32)/(-2) or p = (-4*79^(1/2)-32)/(-2)

p in { (4*79^(1/2)-32)/(-2), (-4*79^(1/2)-32)/(-2)} 

p in { (4*79^(1/2)-32)/(-2), (-4*79^(1/2)-32)/(-2) }