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I don't think so.
What is wrong?
First of all, that is not the first step when you complete the square. Secondly, in the second step, you should get something along the lines of \(\left(x + \frac{1}{2}\right)^2 = \cdots\) as opposed to \((x + 4)^2 = \cdots\).
In the first step, you add \(\left(\frac{b}2\right)^2\) to both sides. As \(b = 1\) in this case, you would add \(\left(\frac{1}{2}\right)^2\) to both sides.
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