i am supposed to find all solutions in [0,2pi). the original equation is

4sin^2x - 3sinx - 2 = 0

i started off using the quadratic formula and got

3 +/- sqrt|-3^2 - 4*4*-2 / 2*4

after simplifying all these through i was left with 3 +/- sqrt41/8

this is where i am confused and really have no idea where to continue, there really isn't a problem to explain this in the book so any help would be great.