How would I solve this equation using factoring and show my work?

Question

How would I solve this equation using factoring, and how would I show my work? Thank you so much!

The area of a rectangle is 24 square meters. Find the length and width of the rectangle if its length is 2 meters greater than its width. Use an equation and the formula ® area of a rectangle = (width)(length)

Answer 1

I made this equation to help you:

w=width

*w(2+w)=24

that would mean...

*w^2 + 2w =24

from there I just guessed and found the answer to be 4