Apply the distributive property to factor out the greatest common factor 75+20

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  (x +4)^2 +(y +6)^2 = 18

Step-by-step explanation:

The standard form equation for a circle centered at (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The center of the given circle is (-4, -6). The radius (or squared radius) can be found by putting the point (-7, -3) into the left-side expression.

  (-7 -(-4))^2 +(-3 -(-6))^2 = r^2 = 9 +9 = 18

Then the equation of the circle is ...

  (x +4)^2 +(y +6)^2 = 18