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

Explanation

To solve the equation \(2x^2 + x + 1 = 0\), we will use the quadratic formula. The general form of a quadratic equation is given by \(ax^2 + bx + c = 0\), where \(a\), \(b\), and \(c\) are constants.

### Step 1: Identify coefficients
In our equation \(2x^2 + x + 1 = 0\):
- \(a = 2\)
- \(b = 1\)
- \(c = 1\)

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