Question

Factor 13x2 + 13x + 9x + 9 = 0​

Answer 1

`\Large \boxed{x=(-9)/(13) \ \ \mathrm{or} \ \ x = -1}}`

Explanation:

`13x^2 + 13x + 9x + 9 = 0`

Factor the expression.

`13x(x+1)+9(x+1)=0`

Take (x + 1) as a common factor.

`(13x+9)(x+1)=0`

Set factors equal to 0.

First possibility:

`13x + 9 = 0`

`13x=-9`

`\displaystyle x=(-9)/(13)`

Second possibility:

`x+1=0`

`x=-1`