An equation of the form
 |
(1)
|
where the values of 
for which the equation holds are sought. Such an equation may have none, one, or
many solutions. There is a general method for solving both the general linear
congruence equation
 |
(2)
|
and the general quadratic congruence equation
 |
(3)
|
However, solution of the general polynomial congruence
 |
(4)
|
is intractable. Note that any polynomial congruence will give congruent results when congruent values are substituted.
