Answer:
all zeroes are
x = -3, {-2+(square root of 22)}/ 2
or {-2-(square root of 22)}/ 2
Explanation:
6x^3+30x^2+45x+27= 0
divide both sides with 3
2x^3+10x^2+15x+9=0
(x+2)(2x^2+4x+3)=0
let 2x^2+4x+3 =0
then x= {-2+(square root of 22)}/ 2
or x = {-2-(square root of 22)}/ 2
similarly if x+3=0
then x = -3