Question 1199589
.
<pre>

Apply completing the squares method and reduce the given equation to equation

    {{{(x+8)^2}}} + {{{(y-8)^2}}} = 64.


It is equation of the circle of the radius 8 units centered at point (-8,8) .


The point (6,4) is at the distance

    {{{sqrt((-8-6)^2 + (8-4)^2)}}} = {{{sqrt(14^2+4^2)}}} = {{{sqrt(196+16)}}} = {{{sqrt(212)}}} = 14.56   (rounded)

from the center of that circle.


Hence, the distance from the given point to the circle is  14.56 - 8 = 6.56 units, approximately.
</pre>

Solved.