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I'm having some trouble on turning a hyberbola into standard form. 4x^2 + 24x - 25y^2 + 200y - 464 = 0 I have successfully

I'm having some trouble on turning a hyberbola into standard form.

4x^2 + 24x - 25y^2 + 200y - 464 = 0

I have successfully moved the constant to the other side, factored out 4 and 25, and completed the square.

x^2 + 6x + 9 - y^2 + 8y + 16 =

This is the part that I'm confused on. Do I have to add 9 and 16 to the other side to equal 489? Or does it just remain 464..?

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