v^2(1-6/v+8/v^2)

Solution for v^2(1-6/v+8/v^2) equation:

D( v )

v = 0

v^2 = 0

v = 0

v = 0

v^2 = 0

v^2 = 0

1*v^2 = 0 // : 1

v^2 = 0

v = 0

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

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

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

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

8*v^-2-6*v^-1+1 = 0

8*v^-2-6*v^-1+1*v^0 = 0

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

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

v^2

v^2-6*v+8 = 0

v^2-6*v+8 = 0

DELTA = (-6)^2-(1*4*8)

DELTA = 4

DELTA > 0

v = (4^(1/2)+6)/(1*2) or v = (6-4^(1/2))/(1*2)

v = 4 or v = 2

v in { 2, 4} 

(v-2)*(v-4) = 0

v^2*(v-2)*(v-4) = 0

( v-2 )

v-2 = 0 // + 2

v = 2

( v-4 )

v-4 = 0 // + 4

v = 4

( v^2 )

1*v^2 = 0 // : 1

v^2 = 0

v = 0

v in { 0} 

v in { 2, 4 }