Question 139055
{{{(x+3)^2/14+((y-5)^2)/14=1}}}


Multiply by 14
{{{(x+3)^2+(y-5)^2=14}}}


Expand the binomials:
{{{x^2+6x+9+y^2-10y+25=14}}}


Collect like terms:
{{{x^2+y^2+6x-10y+20=0}}}