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I tried taking the reciprocal of the fraction on the right so I would not have to do division but I could not get the

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I tried taking the reciprocal of the fraction on the right so I would not have to do division but I could not get the equation to work. The quadratic on the bottom left is unfactorable. What steps would I take to solve this? x2 – 5x – 24 / 2x² - 11x + 24 / 2x² +7x+3 / x²+x-12

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