# Aram's real solutions

Algebra Level 4

The sum of all real solutions of the equation $\sqrt{(x+1)(x-1)^3}-2x\sqrt{x-2} =0$ can be expressed as $$\sqrt{a}+\sqrt{b}+\sqrt{c}$$, where $$a,b,$$ and $$c$$ are positive integers. What is the value of $$a+b+c$$?

This problem is posed by Aram T.

Details and assumptions

For this question, the domain of the square root function is non-negative numbers.

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