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Without the complete control of the flags (CAS settings) in the hp-prime, many algorithms fail, for this reason the following command is important

Please HPP-TEAM include in the next update, autosimplify() Xcas cmd

autosimplify(); // returns 0/1/2
autosimplify(0); // none
autosimplify(1); // regroup or medium
autosimplify(2); // simplify or maximum

$[Image: solver_xcas_step_by_step_ex0_io_image01.png]$

$[Image: hp_prime_autosimplifyCmd_image00.png]$

PHP Code:

#cas
testBeta1():=
BEGIN
 purge(x,y);
 print;
 print("autosimplify off");
 autosimplify(0);
 list0 := [ y = x^2, y = 2*x + 3 ]; // Solving a system of two equations
 print(""+list0);wait;
 expr0 := subst(list0(2),list0(1)); // substitute y = x² in y = 2x + 3
 print(""+expr0);wait;
 expr0 := expr0-(2*x + 3);  // substract 2x + 3 
 print(""+expr0);wait;
 expr0 := simplify(expr0); // simplify
 print(""+expr0);wait;
 expr0 := factor(expr0);
 print(""+expr0);wait;
 lsolx := [ part(left(expr0),1)=0, part(left(expr0),2)=0 ]; // zero factor theorem
 wait;
 return lsolx;
END;
#end 

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