book Maths Puzzle Numerical Ability

Hi there,

I don't get this problem with extraneous solutions at all! Could someone please help me work out this problem before class?
2m / 5 = 3m / 2

Thank you
AC

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book Other Question
Would be grateful for assistance with this:
I have drawn the graph of modulus function g(x)=/x+3/-2
I have to solve equation g(x)=1 and explain geometrical significance of answer factorise 8 x^2+10xy