((v+5)/(v+2))=(((v-5)/(v-6))+1)

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Solution for ((v+5)/(v+2))=(((v-5)/(v-6))+1) equation: 


D( v )

v+2 = 0

v-6 = 0

v+2 = 0

v+2 = 0

v+2 = 0 // - 2

v = -2

v-6 = 0

v-6 = 0

v-6 = 0 // + 6

v = 6

v in (-oo:-2) U (-2:6) U (6:+oo)

(v+5)/(v+2) = (v-5)/(v-6)+1 // - (v-5)/(v-6)+1

(v+5)/(v+2)-((v-5)/(v-6))-1 = 0

(v+5)/(v+2)+(-1*(v-5))/(v-6)-1 = 0

((v+5)*(v-6))/((v+2)*(v-6))+(-1*(v-5)*(v+2))/((v+2)*(v-6))+(-1*(v+2)*(v-6))/((v+2)*(v-6)) = 0

(v+5)*(v-6)-1*(v-5)*(v+2)-1*(v+2)*(v-6) = 0

2*v-v^2+4*v-20+12 = 0

6*v-v^2-8 = 0

6*v-v^2-8 = 0

6*v-v^2-8 = 0

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

DELTA = 4

DELTA > 0

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

v = 2 or v = 4

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

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

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

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

( v-2 )

v-2 = 0 // + 2

v = 2

( v-4 )

v-4 = 0 // + 4

v = 4

v in { 2, 4 }

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