Troubleshooting Rearranging Equations: How to Solve for v in a Complex Equation

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Homework Help Overview

The discussion revolves around rearranging a complex equation to solve for the variable v. The equation involves parameters such as P, R, T, a, and b, and is situated within the context of physics or engineering principles.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to manipulate the equation but expresses frustration over the complexity of the rearrangement. Some participants suggest clarifying the equation's formatting to reduce ambiguity, while others explore different interpretations of the equation's structure.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the equation's presentation and exploring various interpretations. There is no explicit consensus yet, but guidance on formatting has been suggested to aid in understanding.

Contextual Notes

eric99gt
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Alright I'm going absolutely nuts here. It's a simple matter of rearranging an equation and for the life of me I can't do it. I've been working at it for like an hour now to no avail. Here's the equation.

P=[RT/(v-b)]-[a/v(v+b)T^0.5]

I'm trying to solve for v. I've manipulated this equation every way I can think of and still can't get it. I'm sure it's something simple but I'm stuck. Please help.
Thanks
 
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Can you put either put redundant parenthesis around everything or put the equation in LaTeX format (tutorial is in the general physics stickies)?
 
eric99gt said:
P=[RT/(v-b)]-[a/v(v+b)T^0.5]
As enigma suggests, there is quite a bit of ambiguity in how you wrote your equation. Here are a few of the possible ways we could interpret what you wrote.

The first part of your equation could be R[T/(v-b)] or (RT)/(v-b)
The second part could be
[(a/v)(v+b)(T^.5)] or
{[a/(v(v+b))](T^0.5)} or
{(a/[v(v+b)(T^0.5)]}

Can you clarify?
 
Your question appears the same as the one you posted on engineering homework: query.
Did you mean to post it as a math question or engineering?
 
Last edited:

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