Solve `2sin^(2)x-5sinxcosx-8cos^2x=-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: Rearrange the Equation
First, we will 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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