# Balancing Abstract Chemical Equations with One Kind of Atom

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This Demonstration solves chemical-like equations with one kind of atom, represented by the letter . An expression like can be thought of as a "molecule" of atoms of . For the equation to be balanced, the counts of the atoms on both sides must be the same. Balancing the equation is equivalent to solving the Diophantine equation , where parameters , , and are positive integers, and the solution should be in non-negative integers , and positive .

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Contributed by: Izidor Hafner (November 2014)

Open content licensed under CC BY-NC-SA

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