Inscribed circle.

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In a right triangle \(ABC\) , right angled at \(C\), \(AB=c\),\(AC=\dfrac{3}{5}c\).A circle with center \(O\) is inscribed in the triangle .Let \(OC\) intersect the circle at point \(D\).\(CD\) can be expressed in function of \(c\),\(CD=f(c)\).If \(f(c)=\dfrac{c}{5}*(\sqrt{x}-1)\).Find \(x\).

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