Question 132196
start by factoring __ 4(y^2-4y)-25(x^2+8x)-484=0


then complete the squares __ 4(y^2-4y+4)-16-25(x^2+8x+16)+400-484=0


consolidate terms __ 4(y-2)^2-25(x+4)^2-100=0


add 100 and divide by 100 __ {{{(y-2)^2/25-(x+4)^2/4=1}}}