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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

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$$\frac{1}{x}+\frac{1}{x-5}=\frac{2}{x^2-5x}$$
What are all the solutions to the given equation?

A

$-1\text{ and }2$

B

$0\text{ and }5$

C

$1$

D

$\frac{7}{2}$