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

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


D( v )

v+5 = 0

v+1 = 0

v+5 = 0

v+5 = 0

v+5 = 0 // - 5

v = -5

v+1 = 0

v+1 = 0

v+1 = 0 // - 1

v = -1

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

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

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

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

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

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

v^2-10*v+6*v-26+5 = 0

v^2-4*v-21 = 0

v^2-4*v-21 = 0

v^2-4*v-21 = 0

DELTA = (-4)^2-(-21*1*4)

DELTA = 100

DELTA > 0

v = (100^(1/2)+4)/(1*2) or v = (4-100^(1/2))/(1*2)

v = 7 or v = -3

(v+3)*(v-7) = 0

((v+3)*(v-7))/((v+5)*(v+1)) = 0

((v+3)*(v-7))/((v+5)*(v+1)) = 0 // * (v+5)*(v+1)

(v+3)*(v-7) = 0

( v+3 )

v+3 = 0 // - 3

v = -3

( v-7 )

v-7 = 0 // + 7

v = 7

v in { -3, 7 }

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