Question 971784
Edited to this:

6/(v^2-5v)  = 1/(7-v)

cross multiply

42-6v=v^2-5v
0=v^2+v-42
0=(v+7) (v-6)
v=7,-6

v=7 does not work on the right side of the equation.

v=6
6/(36-30) =1/1  Check
v=6