You can
put this solution on YOUR website!If you are given that 2/3 is a root, then

=>

=>

, so

is a factor of:
Using either polynomial long division or synthetic division, divide the cubic by the above derived factor. Since the factor was derived from a root, the division will come out even, i.e. no remainder. The quotient will be a quadratic that you can solve either by factoring, completing the square, or use of the quadratic formula.
Let me know if you need any help on any of these steps.