Answer:x equals 5 and 7Step-by-step explanation:x² - 12x + 35 = 0(x - 5)(x - 7) = 0 [Factor the expression]Since the product of (x - 5) and (x - 7) is zero, either, or both (x - 5) and/or (x - 7) must also equal zero.Now we can write:(x - 5) = 0, and/or(x - 7) = 0x = 5, and x = 7 x can be either, (or both) 5 or 7. The result will always be zero.