Answer:Step-by-step explanation:-x^2 + 6x - 9The first step is to find the coefficient of x^2 (i.e. the num in front of x^2) = -1The constant is -9Therefore, the product of the equation = -1 x -9 = +9Sum of the equation = the coefficient of x = +6Then, we look for two factors (numbers) whose product = +9, and sum = +6What of +3 and +3 ?+3 +3 = +6+3 x +3 = +9Therefore, +3 and +3 are the factors of the equation.We then substitute the sum of the equation (+6x) with these factors.So, we have, -x^2 + 3x +3x - 9We then pair the equation and equate to Zero(-x^2 + 3x) (+3x - 9) = 0Common factor in the first pair is -x and +3 in the second. -x(x - 3) +3 (x - 3) = 0At this stage, same factor must be in the bracket (i.e. x-3) So, we now have,(-x +3) (x-3) = 0We equate each to zero-x + 3 = 0 and x-3=0-x = - 3. and x = +3x = +3 and x = +3Therefore, x = +3 and +3