Troubleshooting an Equation: Need Help with Solving for x[p]

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SUMMARY

The discussion centers on solving the equation (m[s]*x[s]+m[p]*x[p])/(m[s]+m[p]) = 0 for x[p]. The correct solution is x[p] = -x[s] m[s]/m[p], as confirmed by a textbook and verified using Maple. The user repeatedly arrived at an incorrect expression, x[p] = 1 + (1 - x[s])m[s]/m[p], prompting requests for clarification on their error. The community emphasizes the importance of showing the steps taken to identify the mistake in the user's calculations.

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Farzan M
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Hi there,
I do not know why, but I cannot get to the solution of the following equation.
The equation is :

(m*x+m[p]*x[p])/(m+m[p]) = 0

And, I know that if this is solved for x[p], it will get to : x[p] = -x m/m[p] (Written in Textbook, and I checked it using Maple)

However, I tried times and times, but I could not get to the correct answer through the steps. Each time I tried I got to : x[p] = 1 + ( 1 - x)m/m[p]

Can someone show me the steps here please?

** It is my first post in this forum, and I saw some other similar threads in this part of forum. However, I am not sure if I did post it in the right place, hope I did not violate any rules.
 
Last edited:
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Farzan M said:
Hi there,
I do not know why, but I cannot get to the solution of the following equation.
The equation is :

(m*x+m[p]*x[p])/(m+m[p]) = 0

And, I know that if this is solved for x[p], it will get to : x[p] = -x m/m[p] (Written in Textbook, and I checked it using Maple)

However, I tried times and times, but I could not get to the correct answer through the steps. Each time I tried I got to :
Can someone show me the steps here please?

** It is my first post in this forum, and I saw some other similar threads in this part of forum. However, I am not sure if I did post it in the right place, hope I did not violate any rules.


It should be not fruitful for you to straightaway give the solution which is very simple.
Better, write what yo did and how you obtain x[p] = 1 + ( 1 - x)m/m[p] , which obviously is false, and we could show you where is the mistake.
 

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