You can
put this solution on YOUR website!You made a simple sign error.
When you expanded the numerator after putting everything on the left and applying the LCD, you should have had:

in your numerator
Collecting terms you should have ended up with

rather than

because the minus sign distributes across the parentheses around the last term.
Your final equation should have been:

and then solve for the zeros of the numerator polynomial.
I'm not sure where you picked up the minus sign on your answer, but that isn't correct either.
So:

Answer checks.