Solve the equation: `2x^2+x+1=0`

Explanation

To solve the quadratic equation \(2x^2 + x + 1 = 0\), we will use the quadratic formula. The general form of a quadratic equation is given by:

\[ ax^2 + bx + c = 0 \]

### Step 1: Identify coefficients
From the equation \(2x^2 + x + 1 = 0\), we can identify the coefficients:
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