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the x terms on both sides gets cancelled leaving away no solution

5/x=9/2x
multiply both sides by x
5=9/2???? no solution

Why can't you multiply both sides by 1/5 instead of x?

an unreal solution would be x=infinity
infact 2 unreal solutions -> inf and -inf

There would be infinite solutions ? @shubhamsrg or no solutions ?

I guess they are infinite solutions.

No sol.

2 solns, 2 unreal solutions, or should i say 2 theoretical solutions.

I guess we should call it infinite solutions.

no @hba

hmm ? I'd still say 2 solutions which are inf and -inf , but both are theoretical .

Now multiply both sides by 1/5 *

\[\frac{ 5 }{ x } \times \frac{ 1 }{ 5 }=\frac{ 9 }{ 2x } \times \frac{ 1 }{ 5 }\]

x=9/10x

if you multiply both sides by 1/5, you get
1/x =9/(10x)
and not x=9/10x

There are, 2 solutions!
2 theoretical solutions, one should not ignore that.

Welcome :)

silly mistakes usually happen,no problem, welcome ^_^