Which is a solution to (x – 3)(x + 9) = -27?

To solve the equation ( (x – 3)(x + 9) = -27 ), we can first rewrite it as:

[

(x – 3)(x + 9) + 27 = 0

]

Next, let’s expand the left-hand side:

[

x^2 + 9x – 3x – 27 + 27 = 0

]

Simplifying this gives us:

[

x^2 + 6x = 0

]

Now, we can factor out an (x):

[

x(x + 6) = 0

]

Setting each factor to zero gives us the solutions:

1. (x = 0)
2. (x + 6 = 0 Rightarrow x = -6)

Thus, the solutions to the equation are (x = 0) and (x = -6).

Since (x = 0) is a solution, it is verified. For further assistance and more detailed explanations, feel free to check our extended services page!