Find the equation of the circle with centre on the line 2x + y = 0 and touching the line `4x - 3y + 10-0, 4x - 3y = 30` .

Explanation

To find the equation of the circle with its center on the line \(2x + y = 0\) and touching the lines \(4x - 3y + 10 = 0\) and \(4x - 3y = 30\), we can follow these steps:

### Step 1: Identify the equations of the lines
The two lines given are:
1. \(4x - 3y + 10 = 0\) (which can be rewritten as \(4x - 3y = -10\))
2. \(4x - 3y = 30\)

### Step 2: Find the distance between the two parallel lines
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