How Do I Solve for X in This Complex Physics Equation?

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Homework Help Overview

The discussion revolves around solving for X in a complex physics equation related to average velocity and distance traveled by a backpacker. The original poster presents an equation derived from a real-world scenario involving motion in opposite directions.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants explore the setup of the equation and question how to proceed after establishing it. There are inquiries about multiplying both sides of the equation and gathering terms involving X.

Discussion Status

Some participants have provided hints to guide the original poster in manipulating the equation, such as multiplying by the denominator and gathering terms. The discussion is ongoing, with multiple interpretations of the steps being explored.

Contextual Notes

Participants note the importance of showing work and adhering to forum rules regarding homework help. The original problem involves specific velocities and distances, which are crucial to understanding the context of the equation.

pookisantoki
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I'm having trouble solving for X for one of my physics homework
1.09= ([5580-x]/[2426.0867+(x/.430)])
Please help! Thank you
 
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pookisantoki said:
I'm having trouble solving for X for one of my physics homework
1.09= ([5580-x]/[2426.0867+(x/.430)])
Please help! Thank you

Welcome to the PF. Per the PF Rules (see the link at the top of the page), you must do the work on your homework questions. I can give you a hint to get you started -- multiple both sides of the equation by the denominator of the right-hand side (RHS). Show your work.
 
Sorry, it probably just looked like i wanted an answer but this was my set up for a problem that went like this and I just had problem trying to figure out how to solve for X. Like where to go after setting it up

This was the problem:
In reaching her destination, a backpacker walks wiwth an average velocity of 1.09 m/s, due west. This average velocity results, because she hikes for 5.58km with an average velocity of 2.30m/s due west, turns around, and hikes with an average velocity of .430 m/s due east. How far east ddid she walk (in km)

So you said to multiply both side by .430 or this whole thing [2426.0867+(x/.430)]?
 
pookisantoki said:
Sorry, it probably just looked like i wanted an answer but this was my set up for a problem that went like this and I just had problem trying to figure out how to solve for X. Like where to go after setting it up

This was the problem:
In reaching her destination, a backpacker walks wiwth an average velocity of 1.09 m/s, due west. This average velocity results, because she hikes for 5.58km with an average velocity of 2.30m/s due west, turns around, and hikes with an average velocity of .430 m/s due east. How far east ddid she walk (in km)

So you said to multiply both side by .430 or this whole thing [2426.0867+(x/.430)]?

Multiple both sides by the denominator of the RHS. What does that do to the RHS?
 
K so I multipled it
1.09 * (2426.0867 + (x/.430))=5580-x

2644.4345+ (1.09x/.4687)=5580-x

If i was to subtract 5580 on with side and switch -x to +x., What about the X on the other side?
 
pookisantoki said:
K so I multipled it
1.09 * (2426.0867 + (x/.430))=5580-x

2644.4345+ (1.09x/.4687)=5580-x

If i was to subtract 5580 on with side and switch -x to +x., What about the X on the other side?

Your goal in this algebra problem is to gaher terms. Gather the terms that involve X, and use the distributive rule...
 

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