solve for v

Question

4v^2=-12v-9

Answer 1

First, move all terms to one side to solve for v:

4v^2 + 12v + 9 = 0

Next, we can factor this quadratic equation to solve for v:

(2v + 3)(2v + 3) = 0

Now, set each factor to 0 to solve for v:

2v + 3 = 0
2v = -3
v = -3/2

Therefore, the solution for v is v = -3/2.