Sin^2xcosx+4sinxcosx+3cosx=0

I'm not even sure where to start. Help please

what are doing ?

Solving?

I see a common factor
cosx(sin^2 x + 4sinx + 3) = 0
now I see a trinomial that factors
cosx(sinx + 3)(sinx + 1) = 0

cosx = 0 ----> x = π/2, 3π/2
sinx = -3 ----> not possible
sinx = -1 ----> x = 3π/2

in degrees: x = 90°, 270°