Question 413910
Yeah you are well on your way, just multiply through by x and solve the quadratic.

you should get {{{3x^2 +3=10x}}}
Rearranging gives {{{3x^2 - 10x +3=0}}}
so factorise to (3x-1)(x-3)=0, and from this we can see x is 3 or 1/3, both of which fit the description.

As for the wordy stuff, I am not too familiar with that but it seemed to make sense.