Answer:

Explanation:

First, factor out the GCF of all terms, 2w^2:

Now we work on the trinomial.
Think of ax^2 + bx + c.
Multiply ac
ac = 4 * (-6) = -24
Now we need two numbers whose product is -24 and whose sum is 5.
They are -3 and 8.
We break up the middle term, 5w, into a sum using these two numbers.
5w = 8x - 3w

Now we factor by parts. We factor a common factor out of the first two terms, and we factor a common factor out of the last two terms.
![= 2w^2[4w(w + 2) - 3(w + 2)]](https://img.qammunity.org/2021/formulas/mathematics/middle-school/un9pni2i38fyxklbt2aywjuzurvfo6hrmh.png)
