Trig solve for all angles x problem

[r8654]

Homework Statement

Sin(x)+sin(2x)+sin(x)*Cos(2x)+sin(2x)*cos(x)=0
Solve for all angles x.

Homework Equations

Sin(2x)= 2sin(x)*cos(x)

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:
[PLAIN]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.