algebra - solve linear and quadratic style equations in C# -

hi friends need suggestions requirement input in string example x^2 + x^2 + 4x + 9x + x = 10 + 1 * 2 % 4 need slove , find value of x link below link

we need validation of input did need suggestions how can solve these equations using c#

i split equation , create function numeric array , operators trying figure out logic how can process suggestions?

 public class calculation {     string[] opers = new string[] { "+", "-", "/", "*", "%", "^" };     public string process(string value)     {         string result = string.empty;         string[] equations = value.split('=');         calculate(equations[0]);         calculate(equations[1]);         return result;     }      private string calculate(string eq)     {         string result = eq;         string variable = string.empty;         list<string> numberlist = new list<string>();         list<string> operatorlist = new list<string>();         getlists(eq, ref numberlist, ref operatorlist); 

// logic operation return result;

    }     private void getlists(string value, ref list<string> numberlist, ref list<string> operatorlist)     {         string[] operatorrarray = value.split(' ');         foreach (var item in operatorrarray)         {             if (opers.contains(item))             {                 operatorlist.add(item);             }             else             {                 numberlist.add(item);             }         }     } }