Answer
$v=-2,-6$
Work Step by Step
As we are given that $\frac{v}{3}+\frac{v}{v+5}=-\frac{4}{v+5}$
LCD $= 3(v+5)$
$\frac{v}{3}+\frac{v}{v+5}=-\frac{4}{v+5}\times (3)(v+5)$
$v^2+8v+12=0$
After factorization, we have $(v+6) (v+2)=0$
After simplifications, we get the solutions: $v=-2,-6$
