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Part of the roof of a factory is devoted to mechanical support and part to green space. The area G that is designated as green space can be modeled by the polynomial 2x^2 - 7x and the area M that is devoted to mechanical support can be modeled by the polynomial x^2 - 9x + 24. Given that the area R of the roof is 36 square yards, write and solve a quadratic equation to find the total area of the green space. **Use the positive value for your solution.

(Hint: R = G + M)