In the range \(0\leq x<2\pi\), the equation \[\sin^2x+3\sin x\cos x+2\cos^2 x=0\] has

\(1\) solution,

\(2\) solutions,

\(3\) solutions,

\(4\) solutions.

In the range \(0\leq x<2\pi\), the equation \[\sin^2x+3\sin x\cos x+2\cos^2 x=0\] has

\(1\) solution,

\(2\) solutions,

\(3\) solutions,

\(4\) solutions.