(v+4)/(v+5)+1=(v-6)/(v-3)

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Solution for (v+4)/(v+5)+1=(v-6)/(v-3) equation: 


D( v )

v-3 = 0

v+5 = 0

v-3 = 0

v-3 = 0

v-3 = 0 // + 3

v = 3

v+5 = 0

v+5 = 0

v+5 = 0 // - 5

v = -5

v in (-oo:-5) U (-5:3) U (3:+oo)

(v+4)/(v+5)+1 = (v-6)/(v-3) // - (v-6)/(v-3)

(v+4)/(v+5)-((v-6)/(v-3))+1 = 0

(v+4)/(v+5)+(-1*(v-6))/(v-3)+1 = 0

((v+4)*(v-3))/((v+5)*(v-3))+(-1*(v-6)*(v+5))/((v+5)*(v-3))+(1*(v+5)*(v-3))/((v+5)*(v-3)) = 0

(v+4)*(v-3)-1*(v-6)*(v+5)+1*(v+5)*(v-3) = 0

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

v^2+4*v+3 = 0

v^2+4*v+3 = 0

v^2+4*v+3 = 0

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

DELTA = 4

DELTA > 0

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

v = -1 or v = -3

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

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

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

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

( v+1 )

v+1 = 0 // - 1

v = -1

( v+3 )

v+3 = 0 // - 3

v = -3

v in { -1, -3 }

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