(1+(x/b)^c)(a)-(ax)((c/b)x^(c-1))/((1+(x/b)^c)^2)=0 how do i find the zeros for this???

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This looks like a BIG mess because of all the constants.  Since there are no constraints on a, b or c(that is, no relationships are defined between these constants such as a=2b, etc.) , a tricky approach would be to set the constants a, b and c all equal to 1.  Now the equation becomes much easier to work with and you can focus on solving for the zeros. It will be much easier to solve.  Hope this helps