X2 + 12x = - 27 how do you factor this out

Step-by-step explanation:

You start by setting the equation equal to 0. You can do this by adding 27 to both sides to get the following answer.

x^2 + 12x + 27 = 0

Now we look for numbers that add up to the middle term (12) and multiply to the last term (27). In order to do this, let's look at all the factors of 27 and look for one that adds to 12.

1 * 27

-1 * - 27

3 * 9

-3 * - 9

Since 3 and 9 multiply to 27 and add to 12, then we can use them in a parenthesis along with an x.

(x + 3) (x + 9)