(2v^2-6v-20)/(v^2+5v+6)

Solution for (2v^2-6v-20)/(v^2+5v+6) equation:

D( v )

v^2+5*v+6 = 0

v^2+5*v+6 = 0

v^2+5*v+6 = 0

v^2+5*v+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

v = (1^(1/2)-5)/(1*2) or v = (-1^(1/2)-5)/(1*2)

v = -2 or v = -3

v in (-oo:-3) U (-3:-2) U (-2:+oo)

(2*v^2-(6*v)-20)/(v^2+5*v+6) = 0

(2*v^2-6*v-20)/(v^2+5*v+6) = 0

2*v^2-6*v-20 = 0

2*(v^2-3*v-10) = 0

v^2-3*v-10 = 0

DELTA = (-3)^2-(-10*1*4)

DELTA = 49

DELTA > 0

v = (49^(1/2)+3)/(1*2) or v = (3-49^(1/2))/(1*2)

v = 5 or v = -2

2*(v+2)*(v-5) = 0

v^2+5*v+6 = 0

v^2+5*v+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

v = (1^(1/2)-5)/(1*2) or v = (-1^(1/2)-5)/(1*2)

v = -2 or v = -3

(v+3)*(v+2) = 0

(2*(v+2)*(v-5))/((v+3)*(v+2)) = 0

( v+2 )

v+2 = 0 // - 2

v = -2

( v-5 )

v-5 = 0 // + 5

v = 5

v in { -2} 

v = 5