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so I did this problem & checked the solutions manual, and really the only way it works well to get the final concentrations is to use the quadratic formula. Because every compound has an initial value (& will, as a result, have an "x" value of product added/removed), your K= P/R ratio should have two quadratics on both the top & bottom, but just remember that you can cross-multiply the R quadratic equation to the K value, then subtract the values of the P quadratic from the R quadratic & you will have zeroed out the equation.
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