which is a solution to (x - 3)(x + 9)=-27?\no x=-9\no x=-3\no x = 0\no x = 6

Explanation:

Step1: Expand the left - hand side

Using the FOIL method, ((x - 3)(x + 9)=x^{2}+9x-3x - 27=x^{2}+6x-27). So the equation becomes (x^{2}+6x-27=-27).

Step2: Simplify the equation

Add 27 to both sides of the equation: (x^{2}+6x-27 + 27=-27 + 27), which simplifies to (x^{2}+6x=0).

Step3: Factor the left - hand side

Factor out an (x): (x(x + 6)=0).

Step4: Solve for (x)

Set each factor equal to zero. If (x=0), the equation is satisfied. If (x+6 = 0), then (x=-6). Among the given options, (x = 0) is a solution.

Answer:

(x = 0)