SOLUTION: 4x^2+4y^2-12x+16y-5=0 Can you please break it down in simple steps?

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Question 924908: 4x^2+4y^2-12x+16y-5=0
Can you please break it down in simple steps?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in both x and y,
4x%5E2%2B4y%5E2-12x%2B16y-5=0
4x%5E2-12x%2B4y%5E2%2B16y-5=0
4%28x%5E2-3x%29%2B4%28y%5E2%2B4y%29-5=0
4%28x%5E2-3x%2B9%2F4%29%2B4%28y%5E2%2B4y%2B4%29-5=4%289%2F4%29%2B4%284%29
4%28x-3%2F2%29%5E2%2B4%28y%2B2%29%5E2=9%2B16%2B5
4%28x-3%2F2%29%5E2%2B4%28y%2B2%29%5E2=30
%28x-3%2F2%29%5E2%2B%28y%2B2%29%5E2=30%2F4
%28x-3%2F2%29%5E2%2B%28y%2B2%29%5E2=15%2F2
A circle centered at (3%2F2,-2) with a radius of R=sqrt%2815%2F2%29