You can put this solution on YOUR website! 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)
You can put this solution on YOUR website! I went for the formula:
a = 1
b = 8
c = 6
because the equation is in the form av^2 + bv + c = 0
so the answers are:
-4 +sqrt 10 and
-4 -sqrt 10
if you plug these back into the original equation you
will check that you have correctly solved.