x^2+12x=33
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36... (12/2)^2
x^2+12x+36=33+36
(x+6)^2-69=0
x^2+12x+36=33+36
(x+6)^2-69=0
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To complete the square, you have to take b, or in this case, 12, and divide it by two. Then, simply square this number. So in this case, it is (12/2)^2, which equals 36. Add this number to both sides, simplify the first side into (x+6)^2, and finish solving!
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-10 0 to >>> x^2+10x=0