Answer:
B: 6
Explanation:
To find the value of x + 3, we need to solve the given equation: (x - 9)(x + 3) = -36.
Expanding the equation, we get:
x^2 - 6x - 27 = -36
Rearranging the equation and simplifying, we have:
x^2 - 6x - 27 + 36 = 0
x^2 - 6x + 9 = 0
This is a quadratic equation. We can solve it by factoring or using the quadratic formula. In this case, the equation can be factored as:
(x - 3)(x - 3) = 0
Setting each factor equal to zero, we get:
x - 3 = 0
Solving for x, we find:
x = 3
Now, to find the value of x + 3:
x + 3 = 3 + 3 = 6
Therefore, the value of x + 3 is 6. So the answer is B.