Solve 3cot^2x+8cosec^2x+1=0, giving all the values in degrees the range 0<x<360

Ok, so I have replaced 3cot^2x with 3cosec^2x-3, to give 3cosec^2x+8cosec^2x-2=0

From here, I have used the quadratic formula giving me cosecx = 0.230.. and cosecx= -2.896...

and then I don't know how to proceed

Please help me to solve this