Can someone assist in how I should solve the following equation?

$\displaystyle 2sinx + cscx = 0$

I know that can be converted to

$\displaystyle 2sinx + \frac{1}{sinx} = 0$

but I'm stumped as to where to go from there. Any pointers would be appreciated.

*edit*

Hah, I hadn't even looked in the back of the book prior to posting this.. it states there's no solution. Is that because there's basically no way to solve the above equation?