Question 1175396
.
<pre>

    x² + y² + 4x - 96 = 0


    (x^2 + 4x) + y^2 = 96


    (x*2 + 4x + 4) + y^2 = 96 + 4


Make a square


    {{{(x+2)^2}}} + {{{y^2}}} = 100


It is the standard equation of the circle centered at the point (-2,0) with the radius of  {{{sqrt(100)}}} = 10 units.
</pre>

Solved.