Find all solutions in the interval [0,2pi)

[goldenfuture5]

Express all solutions in radian measure rounded off to 3 decimal places.

6tan^2 x = 5tan x + sec^2 x

So, obviously, I subtract 6tan^2 x and get 0 = -6tan^2 + 5 tan x + sec^2 x

I think I am supposed to factor this so I get two sets of paretheses and then set both equations in the parentheses equal to zero. After that I work out the equations and what-not. I

I can't factor it! I need to change sec^2 x but I don't know how! Just need help with the factoring/another method possibly?
Thanks!

 

[royhaas]

Use the identity \(\displaystyle \tan^2(x)+1=\sec^2(x)\).