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Find all real solutions for \(x\) in:

\(2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2\)
 

The hint given was: First prove that \(x\) and \(2^x-1\) have the same sign.

 

I know how to do the hint but have no idea how it relates to the problem. Of course, \(x = 0\) is a solution. But I can't find anything else.

 Jun 18, 2020

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