frac{6 x+18}{x^{2}}+frac{1}{x}=frac{3}{x}

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Accepted Answer

Step:1 ：The given equation is a rational equation. To solve it, we need to simplify the equation and then solve for x.Step:2 ：Let&#x27;s simplify the equation: (frac{1}{x} + frac{6x + 18}{x^{2}} = frac{3}{x}).Step:3 ：Solving the equation, we find that the solution is x = -9/2.Step:4 ：This means that when x = -9/2, the equation holds true.Step:5 ：Final Answer: The solution to the equation is (boxed{-frac{9}{2}}).

Answer

Step: 1 ：The given equation is a rational equation. To solve it, we need to simplify the equation and then solve for x.Step: 2 ：Let&#x27;s simplify the equation: (frac{1}{x} + frac{6x + 18}{x^{2}} = frac{3}{x}).Step: 3 ：Solving the equation, we find that the solution is x = -9/2.Step: 4 ：This means that when x = -9/2, the equation holds true.Step: 5 ：Final Answer: The solution to the equation is (boxed{-frac{9}{2}}).

$\frac{6 x+18}{x^{2}}+\frac{1}{x}=\frac{3}{x}$

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