The Goal

Find all real number solutions for the following equation:

The Mistake

Find the algebra mistake:

(Roll the mouse over the algebra to see a hint in red)

The Correction

(Roll the mouse over the area above to see the correction in blue)

An Explanation

Don't jump to conclusions. Show the intermediate step (see "The Correction") - it is almost impossible to make the mistake shown above if you do that.
(If we allow complex number solutions, then the solutions are x = ± i, where i is a square root of -1)