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

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The discussion revolves around solving the equation (m[s]*x[s]+m[p]*x[p])/(m[s]+m[p]) = 0 for x[p]. The user believes the correct solution is x[p] = -x[s] m[s]/m[p], as stated in their textbook, but they repeatedly derive x[p] = 1 + (1 - x[s])m[s]/m[p], which is incorrect. Other forum members suggest that instead of receiving the solution outright, the user should detail their steps to identify where the mistake occurs. The conversation emphasizes the importance of understanding the process of solving the equation rather than just obtaining the final answer.
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.
 
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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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