An equation that is never true for any value of its variables.

### Examples

- The equation \(x^2\) = –5 is a contradiction, since no squared number can give –5 as a result.
- The equation 5
*x*– 2(*x*+ 4) = 8 + 3*x*is a contradiction, since its solution gives 0*x*= 16, which is not possible.