trig solve for all angles x problem

[r8654]

1. The problem statement, all variables and given/known data
Sin(x)+sin(2x)+sin(x)*Cos(2x)+sin(2x)*cos(x)=0
Solve for all angles x.


2. Relevant equations
Sin(2x)= 2sin(x)*cos(x)

3. The attempt at a solution
Not really sure what to do. I noticed that i could maybe factor out Sin(x), but i do not really know if that is right.

I seem to be always stuck on these kind of problems. Any general tips would greatly help me as well. Thank you

[ammontgo]

Relevant Equations:
http://www.sosmath.com/trig/douangl/douangl.html

Using the given identities, I was able to simply the given equation to:
https://dl.dropbox.com/u/4645835/MATH/simple.gif

[r8654]

So you just used double angles to get rid of sin(2x) and cos(2x)?

[ammontgo]

Yes I used double angles for them and I had to use the cos^2 identity also. I wish I could just scan my paper and upload it but no scanner.

[r8654]

Cool, i think i got it now. Thanks for your time.