SOLUTION: how to convert 9x² + 16y² + 72x - 96y + 144 = 0 in standard form of the ellipse?

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Question 1166890: how to convert 9x² + 16y² + 72x - 96y + 144 = 0 in standard form of the ellipse?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
9x%5E2%2B72x%2B16y%5E2-96y=-144
9%28x%5E2%2B8x%29%2B16%28y%5E2-6y%29=-144
9%28x%5E2%2B8x%2B16%29%2B16%28y%5E2-6y%2B9%29=-144%2B9%2A16%2B16%2A9, completing the squares
9%28x%2B4%29%5E2%2B16%28y-3%29%5E2=144
%289%2F144%29%28x%2B4%29%5E2%2B%2816%2F144%29%28y-3%29%5E2=1
highlight%28%28x%2B4%29%5E2%2F4%5E2%2B%28y-3%29%5E2%2F3%5E2=1%29