What is 45x^2+45y^2=-4x ?

The solution to 45x^2+45y^2=-4x is Circle with (a,b)=(-2/45 ,0),r= 2/45

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45x^2+45y^2=-4x

45 x^{2} + 45 y^{2} = - 4 x

(a, b) = (- \frac{2}{45}, 0), r = \frac{2}{45}

Solution steps

45 x^{2} + 45 y^{2} = - 4 x

Rewrite

45 x^{2} + 45 y^{2} = - 4 x

in the form of the standard circle equation

(x - (- \frac{2}{45}))^{2} + (y - 0)^{2} = (\frac{2}{45})^{2}

Therefore the circle properties are:

(a, b) = (- \frac{2}{45}, 0), r = \frac{2}{45}

x^{2} - 2 x + y^{2} = \frac{466}{25}

(x + 1)^{2} + (y - 3)^{2} = (50)^{2}

\frac{( x - 5 ) ^{2}}{3 ^{2}} + \frac{( y + 5 ) ^{2}}{9} = 1

x^{2} - 2 x + y^{2} + 4 y = 31

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

What is 45x^2+45y^2=-4x ?
The solution to 45x^2+45y^2=-4x is Circle with (a,b)=(-2/45 ,0),r= 2/45