Find all real solutions for \(x\) in \(2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2\)
Do you understand what Rom wants you to do?
graph each side seperately, put y= out the front of each side and see where the graphs cross.
The x value of intersections will be your solutions.
Use https://www.desmos.com/calculator for this.
If you need an algebraic solution then think about that after you find the solution graphically.