Given the two algebraic expressions (8 x^{2}-9 x+6) and (6 x), the solution is (3 x-1.5+frac{1}{x}). What

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Given the two algebraic expressions \(8 x^{2}-9 x+6\) and \(6 x\), the solution is \(3 x-1.5+\frac{1}{x}\). What mathematical operation was performed on the two algebraic expressions?

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