I'm trying to work on a problem, and I'm stuck at simplifying this equation. I do not why I cannot see it:

so the book gives the following equation:


where c is nonzero.

Now the book simplifies it like this:

$$x^2+y^2+\frac{a}{c} x+\frac{b}{c} y=0$$

Does anyone know how they simplified it? I believe they divided c, but I do not know how $x^2+y^2$ disappeared

Also, this involves the equation of a circle


Hint: multiply both sides by $x^2 + y^2$ to clear the fractions, then simplify.

  • $\begingroup$ alright, thanks! lemme try right now. $\endgroup$ – kero Mar 9 '15 at 5:29
  • 1
    $\begingroup$ You can also bring the equation to standard form by completing square. $\endgroup$ – MathMajor Mar 9 '15 at 5:30
  • $\begingroup$ I got it. Thanks a lot! $\endgroup$ – kero Mar 9 '15 at 5:31
  • $\begingroup$ Don't forget either x or y needs to be strictly positive. $\endgroup$ – Pierre Arlaud Mar 9 '15 at 9:08
  • $\begingroup$ @Rohinb97, I was but they don't let you accept it right away D: $\endgroup$ – kero Mar 10 '15 at 0:35

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