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
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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