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

AI Thread Summary
The discussion revolves around solving the equation 1.09 = ([5580-x]/[2426.0867+(x/.430)]) for the variable X, related to a physics problem about a backpacker's journey. Participants emphasize the importance of showing work and suggest multiplying both sides of the equation by the denominator to simplify the problem. The user struggles with the algebraic manipulation needed to isolate X, seeking clarity on how to proceed after initial steps. Guidance is provided on gathering terms and applying the distributive rule to solve for X effectively. The conversation highlights the collaborative effort in tackling complex physics equations.
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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