X = ((384x/(y+384))*y+384(384x/(y+384)))/384

[johnnyamerica]

Solved: x=((384x/(y+384))*y+384(384x/(y+384)))/384

I solved for y1 and y2. I can't edit the title of the original post but this is solved.

 

[SammyS]

General Q to others: anyone know how to get wolframalpha to change the subject of the formula?

@ NascentOxygen,

Do you mean like this?

http://www.wolframalpha.com/input/?i=solve+{x%3D+%28%28384x%2F%28y%2B384%29%29*y%2B384%28384x%2F%28y%2B384%29%29%29%2F384}+for+y

or this ?

http://www.wolframalpha.com/input/?i=solve+y+%3D+%285x%2B2%29%2F%283x-7%29+for+x

 

[NascentOxygen]

@ NascentOxygen,

Do you mean like this?

Precisely. Would be invaluable for checking results. Thanks.

 

[Borek]

x-x=0, you say? I wasn't aware.

Let's start with something simpler. Like x=3y-4. Easy to solve. Try to feed x-3y+4 to Wolfram and see if it will equal zero. Do you see there is some important difference between x = ((384x/(y+384))*y+384(384x/(y+384)))/384 and x=3y-4? One is tautology, other is not.

Any value of x or y can result in a different value of x or y. I can find any x if I know y, but how can I find any y without already knowing y?

Using your equation you can't find y, because such a unique solution doesn't exist.

x-x=y-y is another equation similar to yours - it can't be solved for exactly the same reasons you can't solve your equation. No matter what you put as x, any y will still make it correct. Yours is just more convoluted.