What is 4x^2-6x=-4y^2 ?

The solution to 4x^2-6x=-4y^2 is Circle with (a,b)=(3/4 ,0),r= 3/4

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4x^2-6x=-4y^2

4 x^{2} - 6 x = - 4 y^{2}

(a, b) = (\frac{3}{4}, 0), r = \frac{3}{4}

Solution steps

4 x^{2} - 6 x = - 4 y^{2}

Rewrite

4 x^{2} - 6 x = - 4 y^{2}

in the form of the standard circle equation

(x - \frac{3}{4})^{2} + (y - 0)^{2} = (\frac{3}{4})^{2}

Therefore the circle properties are:

(a, b) = (\frac{3}{4}, 0), r = \frac{3}{4}

3 x^{2} + 3 y^{2} - 6 x - 24 y - 24 = 0

y^{2} + (x - 5)^{2} = 1

(4 x^{2} + 4 y^{2} + 8 x - 16 y - 80) = 0

x^{2} + 6 x + 3 + y^{2} = 4 y

x^{2} + y^{2} - 4 x - 8 y - 29 = 0

What is 4x^2-6x=-4y^2 ?
The solution to 4x^2-6x=-4y^2 is Circle with (a,b)=(3/4 ,0),r= 3/4