+83 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.
