I'm trying to solve:
sin2x = -cos2x
so my first step was...
2sinxcosx = -cos^2x - sin^2x
and then...
2sinxcosx + cos^2x + sin2x = 0
but I'm confused on how I would end up factoring 2sinxcosx + cos^2x + sin2x, or if I did something wrong earlier in the problem...thank you