You can put this solution on YOUR website! 27x^2-84x+44=0
These problems require a lot of guessing.
What I do is use a graphing calculator to
find a zero or two and then work from there.
This one has a zero at x=2/3
That means it has a factor of (3x-2)
Now I can work out the other factor to be:
(3x-2)(9x-22)
Cheers,
Stan H.