Money9111 --

You may be over-thinking this one

In order to isolate x here, ultimately you'll have to divide. I suppose you could factor it, too, but simple division is going to yield a result faster.

To start, the expression says ...

1. A positive number X is multiplied by 2, and this product is then divided by 3 :: 2/3x
2. .... If the positive square root of the results of these two operations equals x :: sqrt(2/3x)=x

then ..

3. square both sides :: 2/3x = x^2
4. divide both sides by x :: 2/3x / x = x^2 / x == 2/3 = x

and that's your answer.

I think that what might be tripping you up is that you're evaluating the equation as "2x over three" instead of "x times 2/3" .. which is making you want to get rid of that three. I could be wrong

-Eric

thank you for that explanation... i was probably overthinking it... didn't think to just simply divide both sides by x... i know now though!