(3v^2+18v+15)/(v^2+4v-5)

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Solution for (3v^2+18v+15)/(v^2+4v-5) equation: 


D( v )

v^2+4*v-5 = 0

v^2+4*v-5 = 0

v^2+4*v-5 = 0

v^2+4*v-5 = 0

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

DELTA = 36

DELTA > 0

v = (36^(1/2)-4)/(1*2) or v = (-36^(1/2)-4)/(1*2)

v = 1 or v = -5

v in (-oo:-5) U (-5:1) U (1:+oo)

(3*v^2+18*v+15)/(v^2+4*v-5) = 0

3*v^2+18*v+15 = 0

3*(v^2+6*v+5) = 0

v^2+6*v+5 = 0

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

DELTA = 16

DELTA > 0

v = (16^(1/2)-6)/(1*2) or v = (-16^(1/2)-6)/(1*2)

v = -1 or v = -5

3*(v+5)*(v+1) = 0

v^2+4*v-5 = 0

v^2+4*v-5 = 0

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

DELTA = 36

DELTA > 0

v = (36^(1/2)-4)/(1*2) or v = (-36^(1/2)-4)/(1*2)

v = 1 or v = -5

(v+5)*(v-1) = 0

(3*(v+5)*(v+1))/((v+5)*(v-1)) = 0

( v+1 )

v+1 = 0 // - 1

v = -1

( v+5 )

v+5 = 0 // - 5

v = -5

v in { -5} 

v = -1

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