((v^2)-4v-32)/((4v^2)-8v-96)

Solution for ((v^2)-4v-32)/((4v^2)-8v-96) equation:

D( v )

4*v^2-(8*v)-96 = 0

4*v^2-(8*v)-96 = 0

4*v^2-(8*v)-96 = 0

4*v^2-8*v-96 = 0

4*v^2-8*v-96 = 0

DELTA = (-8)^2-(-96*4*4)

DELTA = 1600

DELTA > 0

v = (1600^(1/2)+8)/(2*4) or v = (8-1600^(1/2))/(2*4)

v = 6 or v = -4

v in (-oo:-4) U (-4:6) U (6:+oo)

(v^2-(4*v)-32)/(4*v^2-(8*v)-96) = 0

(v^2-4*v-32)/(4*v^2-8*v-96) = 0

v^2-4*v-32 = 0

v^2-4*v-32 = 0

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

DELTA = 144

DELTA > 0

v = (144^(1/2)+4)/(1*2) or v = (4-144^(1/2))/(1*2)

v = 8 or v = -4

(v+4)*(v-8) = 0

4*v^2-8*v-96 = 0

4*(v^2-2*v-24) = 0

v^2-2*v-24 = 0

DELTA = (-2)^2-(-24*1*4)

DELTA = 100

DELTA > 0

v = (100^(1/2)+2)/(1*2) or v = (2-100^(1/2))/(1*2)

v = 6 or v = -4

4*(v+4)*(v-6) = 0

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

( v+4 )

v+4 = 0 // - 4

v = -4

( v-8 )

v-8 = 0 // + 8

v = 8

v in { -4} 

v = 8