An algebra problem by Jerry Han Jia Tao

Algebra Level 3

Let \(a\), \(b\) and \(c\) be real and positive parameters. Solve the equation \[\sqrt{a+bx}+\sqrt{b+cx}+\sqrt{c+ax}=\sqrt{b-ax}+\sqrt{c-bx}+\sqrt{a-cx}\]

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