Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
First, know that the first number -7 and the last number 5 multiply to equal -35. Then find two factors of -35 that add up to equal -2. In this case, -7 and 5 add up easily.
-7 + 5 = -2
Put 5x and -7x in place of the 2x.
5x^2 + 5x - 7x -7
Group the first 2 terms and the second terms separately like this
(5x^2 + 5x) + (-7x - 7)
Then take out any common factors from both groups. Those are 5x and -7
5x(x + 1) - 7(x+1)
Then group the common factors 5x and -7 you took out into one group. Also, since there are two (x+1)'s, make the x+1 one group like this.
You can check your work by multiplying everything back the way it was and seeing if it is the same as it was in the beginning.
5x^2 + 5x - 7x - 7
5x^2 - 2x - 7
I hope I explained it well enough. Some people do it a different way but this is how I do it.