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Here is the original equation
step 1 - rearrange the terms so that x's are grouped and y's are grouped together.
the blanks are waiting for certain numbers
step 2 - take 1/2 of the middle terms and square it
(1/2)*8 = 4 -> 4^2 = 16
(1/2)*2 = 1 -> 1^2 = 1
so, we get
notice that the blanks were filled in with the squared numbers.
step 3 - rewrite the x any y trinomial as a binomial squared. Also, simplify the right side to get
notice that the constant is 1/2 the middle term.
we have everything we need to find center and radius.
center = (h,k) = (-4,-1)
radius = 2