Answer:x=3, x=4Step-by-step explanation:x^2 - 7x + 12 = 0 We need to find two numbers that add up to -7 and multiply to 12. These numbers are -3 and -4. Therefore, we can factor the quadratic equation as follows: (x - 3)(x - 4) = 0 This equation is true if either (x - 3) = 0 or (x - 4) = 0. Solving for x in each case: x - 3 = 0 \Rightarrow x = 3 x - 4 = 0 \Rightarrow x = 4 Therefore, the solutions are \boxed{x = 3} and \boxed{x = 4}