x^{2} – 16x = –8

To find the number you need to add to both sides, you take half of 16 (the number in front of the x), and square it. Half of 16 is 8, and 8 multiplied by itself is 64 - so you need to add 64 to each side.

When you do that, your equation becomes:

x^2-16x+64 = -8+64

(x-8)^2 = 56

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