\[{x}^{2}+{y}^{2}=849-{x}^{2}{y}^{2}\]

Find all possible \(x\) values to the equation above such that \(x\) and \(y\) are both positive integers. And state the values of \(x\) in ascending order with no spaces in between (e.g. if the solutions were \(2\), \(55\) and \(13\) you would write "\(21355\)").

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