Question 302808
Complete the square in x and y. 
{{{y^2-9x^2+6y-126x=441 }}}
{{{-9x^2-126x+y^2+6y=441 }}}
{{{-9(x^2+14x)+(y^2+6y)=441 }}}
{{{-9(x^2+14x+49)+(y^2+6y+36)=441+441-36 }}}
{{{-9(x+7)^2+(y+6)^2=846 }}}
{{{(y+6)^2-9(x+7)^2=846 }}}

Looks like a hyperbola. 
Opposite signs on x and y with unequal coefficients.