Find all the solution of `4cos^2xsinx-2sin^2x=3sinx`

Explanation

To solve the equation \(4\cos^2 x \sin x - 2\sin^2 x = 3\sin x\), we will follow these steps:

### Step 1: Rearrange the equation
We start by rearranging the equation to bring all terms to one side:
\[ 4\cos^2 x \sin x - 2\sin^2 x - 3\sin x = 0 \]

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