Find the equation (s) of the common tangent(s) to the parabola `y^(2) - 4x - 2y + 5 =0` and `y^(2) = -4x`.

Explanation

To find the equations of the common tangents to the parabolas given by the equations \( y^2 - 4x - 2y + 5 = 0 \) and \( y^2 = -4x \), we will follow these steps:

### Step 1: Rewrite the equations of the parabolas
The first parabola can be rewritten in a more recognizable form. We start with:
\[ y^2 - 4x - 2y + 5 = 0 \]
Rearranging gives:
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