Solve for x
\left\{\begin{matrix}x\in \left(-\frac{\sqrt{9-3a}}{3}+1,\frac{-\sqrt{25-4a}-5}{2}\right)\text{, }&-\frac{\sqrt{36-12a}}{6}+1<\frac{-\sqrt{25-4a}-5}{2}\text{ and }a<3\\x\in \left(-\frac{\sqrt{9-3a}}{3}+1,\frac{\sqrt{9-3a}}{3}+1\right)\text{, }&-\frac{\sqrt{36-12a}}{6}+1\geq \frac{\sqrt{25-4a}-5}{2}\text{ and }a<3\\x\in \left(\frac{\sqrt{25-4a}-5}{2},\frac{\sqrt{9-3a}}{3}+1\right)\text{, }&\frac{\sqrt{25-4a}-5}{2}<\frac{\sqrt{36-12a}}{6}+1\text{ and }-\frac{\sqrt{36-12a}}{6}+1<\frac{\sqrt{25-4a}-5}{2}\text{ and }a<3\end{matrix}\right.
Solve for a
a\in \left(-x\left(x+5\right),3x\left(2-x\right)\right)
x>0\text{ and }x<\frac{11}{2}
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