1/4=3-2x-1/x+2..so far i have 8x^2-19x+4=0 do i use quadratic formula to solve the rest of the way?

Your equation is not clear, some parentheses may be missing.

If it were
1/4=(3-2x-1)/(x+2)
it simplifies to a linear equation. Quadratic formula is not needed.
If it is otherwise, insert parentheses to clarify.