Solve `2 sin^(2) x-5 sin x cos x -8 cos^(2) x=-2`.

Explanation

To solve the equation \( 2 \sin^2 x - 5 \sin x \cos x - 8 \cos^2 x = -2 \), we will follow these steps:

### Step 1: Rearranging the Equation
First, we can rearrange the equation to bring all terms to one side:
\[ 2 \sin^2 x - 5 \sin x \cos x - 8 \cos^2 x + 2 = 0 \]

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