My problem is 3(x-5)^2=15.
You do not say - what you need to do. I presume you need to solve for 'x'.
I chose this as my next step (3x-15)^2=15. That is incorrect.
Then (3x-15)(3x-15)=15. This gives me 9x^2-90x+225=15. From here, I don't know whether to set it to zero or subtract 225 from 15. Please help.