Which side should I put constant C on?

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The discussion revolves around the placement of the constant C in mathematical equations, specifically whether to place it on one side or both sides of an equation. Participants agree that both approaches yield valid solutions, such as C/(x+2) and 1/(C(x+2)), which are mathematically equivalent. The confusion arises from the interpretation of 1/C as another form of C. Ultimately, the consensus is that both representations are correct and interchangeable. The conversation emphasizes understanding the equivalence of different forms of constants in equations.
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Homework Statement


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the second solution is the correct, I know you can put C on both sides and it simplifed to C2 on one side, but why can't you put C2 on the right side?

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Both are correct. ##\frac{c}{x+2}## and ##\frac{1}{c(x+2)}## are the same solutions! Why are they different?
 
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Math_QED said:
Both are correct. ##\frac{c}{x+2}## and ##\frac{1}{c(x+2)}## are the same solutions! Why are they different?
oh, because 1/C is just another C?
 
EastWindBreaks said:
oh, because 1/C is just another C?

Exactly.
 
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Math_QED said:
Exactly.
thank you!
 

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