Solve for v:
6 v^2+13 v = 5
Divide both sides by 6:
v^2+(13 v)/6 = 5/6
Add 169/144 to both sides:
v^2+(13 v)/6+169/144 = 289/144
Write the left hand side as a square:
(v+13/12)^2 = 289/144
Take the square root of both sides:
v+13/12 = 17/12 or v+13/12 = -17/12
Subtract 13/12 from both sides:
v = 1/3 or v+13/12 = -17/12
Subtract 13/12 from both sides:
Answer: | v = 1/3 or v = -5/2
