Danny made an error in step 3.
It should have been (x- 2)^2 because -4/2 = -2
But then we have to add 4 to other side because (x-2)^2 = x^2 -4x+4
Therefore (x-2)^2 = -8 + 4 = -4
Taking the square root of both sides gives us
x - 2 = sqrt(-4) = +/-2i
Therefore x = 2 +/-2i
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