Question

Which is a solution to (x – 3)(x + 9) = –27? x = –9 x = –3 x = 0 x = 6

Answer 1

Answer:

x = 0

Step-by-step explanation:

Since the product is not equal zero, we need to multiply both parenthesis first:

$(x-3)(x+9) =-27$

$x*x+x*9+(-3)*x+(-3)*9=27$

$x^2+9x-3x-27=27$

$x^2+6x-27=27$

Add 27 from both sides:

$x^2+6x-27+27=-27+27$

$x^2-6x=0$

Factor $x$ out:

$x(x+6)=0$

Apply the zero product:

$x=0,x+6=0$

$x=0,x=-6$

The solutions of the equation are $x=0$ and $x=-6$.

We can conclude that the correct answer is x = 0.