# Question #6c03c

##### 2 Answers

#### Explanation:

find two numbers that add to make 10 and multiply to make -24:

#### Explanation:

First, let's set the quadratic equal to zero by subtracting 8 from both sides. This gives us:

Now we can factor by grouping. This is a useful factoring method, as if we can break up our x term into two terms, now our factoring gets straightforward.

We can rewrite the quadratic as:

*(Notice, I did not change the properties of this equation. I only rewrote 10x as 12x-2x to aid me in factoring.)*

Blue terms: Factor a 3x out to get

Purple terms: Factor a -2x out to get

With both the blue and purple terms, we have a