how do i solve for v in the equation:

v^2/.6=1.2v^2/.6 +9.8

Can't be done.

If you move the 1.2v^2/.6 to the left, you wind up with

-.2v^2/.6 = 9.8

The left side is negative and the right side is positive. I suspect a typo somewhere, or an error in devising the equation.