How to implement an IEvalStepListener to show steps on how to solve equations?

[OmidNejadabbasi]

How should implement the IEvalStepListener to show the steps on how to solve a (for example) polynomial equation of degree 2.

Can you provide a simple implementation for it so that I can implement cases of my need ?

Here is a simple 2-degree equation : Solve((x^2 - 4x == -4), x)

A desired output could be like :

{{ (x-2)^2 = 0, x}, {x->2}}

We can maybe even put messages like "Square factorization" to the steps.

[axkr]

Why using the "special case" of "square factorization" and not using a quadratic solve as a more general example:

• http://en.wikipedia.org/wiki/Quadratic_equation

See

• symja_android_library/symja_android_library/matheclipse-core/src/main/java/org/matheclipse/core/polynomials/QuarticSolver.java

  Line 604 in 852328d

  public static IASTAppendable quadraticSolve(IExpr a, IExpr b, IExpr c, IExpr solution1,

[OmidNejadabbasi]

@axkr
I just wanted to give an example of what I mean "show the steps". And also I don't if we should implement a class separately for each factorization methods or not.