How do you factor using the grouping method

Essentially you need to find some common factor between two terms and then group them. It is slightly to conceptualize and understand. an ez method is (a)(c) = n

so if i have ax + bx + c then i need to find the product of a and c (n)  and then find two numbers that are multiply to n and add to b

So EXAMPLE TIME:

2x² + 5x + 3

n = 6
3 x 2 = 6 and 3 + 2 = 5

2x^2 + 3x + 2x + 3

(2 + 2x) + (3x + 3)

2x(x+1) + 3(x+1)    Now we can group!

(2x+3)(x+1)