Question

How do you factor and solve `x^2 +6x=-9`?

Answer 1

`x = -3`

Explanation:

`x^2 +6x +9=0`

Find factors of 9 which add up to 6.
The signs are the same, both +.

`3xx3 = 9 and 3+3 = 6`

`(x+3)(x+3) = 0`

Both brackets are the same, so there is only one solution.

`x = -3`