How many solutions does this equation involving $\sin^8x$ have?

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In the range \(0 \leq x < 2\pi\) the equation \[(3 + \cos x)^2 = 4 - 2\sin^8x\] has

1. \(0\) solutions,

2. \(1\) solution,

3. \(2\) solutions,

4. \(3\) solutions.

What is the range of values that the left hand side can take?