Question

-16x^2+9y^2+32x+144y-16=0
Find the standard formula

Answer 1

@Directrix

Answer 2

\[\large -16x^2+9y^2+32x+144y-16=0 \] First step is to group all the common terms together, and maybe add 16 to both sides...
\[\large (-16x^2+32x)+(9y^2+144y)= 16\]
Now you try completing the square, first you need to factor out the -16 from the x^2 and the 9 from the y^2:
\[\large -16(x^2-2x)+9(y^2+16y)=16\]