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Given the supply and demand functions P = Q S 2 + 2 Q S + 6 P = - Q D 2 - 2

Given the supply and demand functions

P = Q_{S}^{2} + 2 Q_{S} + 6

P = - Q_{D}^{2} - 2 Q_{D} + 12

find the equilibrium quantity,

Q .

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