solve linear and quadratic style equations in C#

Question

Hi Friends i need your suggestions my requirement is to get the input in string for example X^2 + X^2 + 4X + 9X + X = 10 + 1 * 2 % 4 now we need to slove it and find the value of x like the link below link

we also need to do the validation of input that i already did just need suggestions how can we solve these equations using c#

I split the equation and create the function to get numeric array and operators now I am trying to figure out the logic how can we process it any 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 to do 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);
           }
       }
   }

can you please help me out with logic how can we processed the sample input will be in string like following formate

2X – 1 = 0
3X + 8X = 33
4X - 7 = 8X - 5
X / (x+12) = 1 / 13
X^2 + X^2 + 4X + 9X + X = 10 + 1 * 2 % 4