Find the equation of the circle whose diameter is the common chord of the circles
`x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0`

Explanation

To find the equation of the circle whose diameter is the common chord of the circles given by the equations:

1. \( x^2 + y^2 + 2x + 3y + 1 = 0 \) (Circle C1)
2. \( x^2 + y^2 + 4x + 3y + 2 = 0 \) (Circle C2)

we will follow these steps:

### Step 1: Find the equation of the common chord
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