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Step by Step Solution

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x^22*1-((x-2)^2)=0

Step 1 :

 1.1     Evaluate :  (x-2)²   =    x²-4x+4

Checking for a perfect cube :

1.2 x²²-x²+4x-4 is not a perfect cube

Trying to factor by pulling out :

1.3 Factoring: x²²-x²+4x-4

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: x²²-x²
Group 2: 4x-4

Pull out from each group separately :

Group 1: (x²⁰-1) • (x²)
Group 2: (x-1) • (4)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Equation at the end of step 1 :

  x²² - x² + 4x - 4  = 0

Step 2 :

Equations of order 5 or higher :

2.1 Solve x²²-x²+4x-4 = 0

Handling of functions of an even degree greater than 6 is not implemented yet