How do I graph #9x^2+16y^2-36x+32y=92# algebraically?
by factoring out 9 and 16,
by adding and subtracting 4 and 1 in the parentheses,
by keeping the first three terms in each group,
by completing the squares and adding 36 and 16,
by dividing by 144,
Hence, we have an equation of an ellipse
which is 8 units wide, 6 units tall, and centered at
I hope that this was helpful.