X^2+6x+8=0 someone help me with the equation. i’m super confused and don’t know if i’m doing it right

I think the answer is (x + 4) • (x + 2)

Step-by-step explanation:

First multiply the coefficient of the first term by the constant

Step 2: Find two factors of 8 whose sum equals the coefficient of the middle term 6

Step 3: write the polynomial splitting the middle term using the two factors found in step 2

Step 4:  Add up the first 2 terms, pulling out like factors :

                   x • (x+2)

Add up the last 2 terms, pulling out common factors :

                   4 • (x+2)

Step 5: Add up the four terms in step 4

(x+4)  •  (x+2)

Your final answer is (x + 4) • (x + 2)

what's that