Which of the following are solutions to the equation below 3x^2+27x+54=0

Answer:x=6

Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18

Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is - 9.

-18 + - 1 = - 19

-9 + - 2 = - 11

-6 + - 3 = - 9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 6 and - 3

x2 - 6x - 3x - 18

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

x • (x-6)

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

3 • (x-6)

Step-5 : Add up the four terms of step 4:

(x-3) • (x-6)

Which is the desired factorization