sin^2x+ 2√3sin x cos x+3 cos^2 x=0 решить уравнение

sin^2(x) + 2sqrt(3)sin(x)cos(x) + 3cos^2(x) = 0;

1 - sin(2x) = 0;

sin(2x) = 1;

2x = π/2 + 2πn, n element Z;

x = π/4 + πn, n element Z