Question 23061
There are two methods that can be used to solve this problem. Besides using the quadratic formula, another way to do it is by completing the square.
First of all, move 6 to the right side.
v^2 + 8v = -6
Then, add 16 to both sides.
v^2 + 8v + 16 = 10
From this new expression, it can be see that the left side can be simplified.
(v + 4)^2 = 10
Simplify further to find the solutions.
v + 4 = +- sqrt(10)
v = -4 +- sqrt(10)