To solve the equation by completing the square, we take half the coefficient of the x-term, which is 6, and square it to obtain 9. We add 9 to both sides of the equation:
x2 - 6x + 9 = -2 + 9
This simplifies to: (x - 3)2 = 7
Taking the square root of both sides, we get: x - 3 = ±
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