(8/4v-24)-1=2/v-6

Solution for (8/4v-24)-1=2/v-6 equation:

D( v )

v = 0

v = 0

v = 0

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

(8/4)*v-24-1 = 2/v-6 // - 2/v-6

(8/4)*v-(2/v)-24-1+6 = 0

(8/4)*v-2*v^-1-24-1+6 = 0

2*v^1-2*v^-1-19*v^0 = 0

(2*v^2-19*v^1-2*v^0)/(v^1) = 0 // * v^2

v^1*(2*v^2-19*v^1-2*v^0) = 0

v^1

2*v^2-19*v-2 = 0

2*v^2-19*v-2 = 0

DELTA = (-19)^2-(-2*2*4)

DELTA = 377

DELTA > 0

v = (377^(1/2)+19)/(2*2) or v = (19-377^(1/2))/(2*2)

v = (377^(1/2)+19)/4 or v = (19-377^(1/2))/4

v in { (19-377^(1/2))/4, (377^(1/2)+19)/4} 

v in { (19-377^(1/2))/4, (377^(1/2)+19)/4 }