Solve the equation:`sqrt(2)x^2+x+sqrt(2)=0`

Explanation

To solve the equation \( \sqrt{2}x^2 + x + \sqrt{2} = 0 \), we will follow these steps:

### Step 1: Identify coefficients
The given equation is in the standard form of a quadratic equation \( ax^2 + bx + c = 0 \). Here, we identify:
- \( a = \sqrt{2} \)
- \( b = 1 \)
- \( c = \sqrt{2} \)

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