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I have a question about solving or isolating for variables in an equation. It doesnt need to be an equation, however, I've noticed my problems always appear when trying to transpose them. I have read through algebra concepts, but they only tell me what I already know regarding polynomial rules and such. I think my problem is much more basic:

Keq = [CO_{2}][CF_{4}] / [COF_{2}]^{2}

CO_{2}= [COF_{2}]^{2}/ [CF_{4}]

What exactly happens that causes the top and bottom parts to reverse their orientation? What caused the CO_{2}to appear on the left side, what operation/method is used?

Are there any posts similar to this that have a detailed explanation? Reading a book about Algebra didnt help the second time around, so I would just like to know how the rules are applied. What if there are two sets of variables in the denominator, can one of them be moved without altering the other? When a square root contains a variable of interest and is being multiplied by another variable in the denominator, what can be done to isolate it? It's these kind of things I've had problems with for a while. Could someone explain?

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# Transposing formulas/Solving for variables

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