Solving a Radical Equation

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What is the solution to the equation $\sqrt{5x+9}-\frac{3x}{\sqrt{x+6}}=\sqrt{x+6}$ ?

$\frac{9+3\sqrt{97}}{22}$

$\frac{-9+3\sqrt{97}}{22}$

$\frac{-9+3\sqrt{97}}{11}$

$\frac{-9-3\sqrt{97}}{22}$

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