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To factor the quadratic equation x² - 7x + 12 = 0, we need to find two numbers that add up to -7 (the coefficient of x) and multiply to 12 (the constant term). These numbers are -4 and -3, because -4 + -3 = -7 and -4 * -3 = 12. So, x² - 7x + 12 can be factored to (x - 4)(x - 3).

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