2sin^2(3п/2+х)+sin2x

-2cos^2(x)+2sinx*cosx=0
-2cosx*(cosx-sinx)=0
1) cosx=0
x=π/2+πk, k ∈ z
2) cosx-sinx=0
1-tgx=0
tgx=1
x=π/4+πk, k ∈ z