# Inconsistent Equation

## Inconsistent Equation

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 5x – 2(x + 4) = 8 + 3x is a contradiction, since its solution gives 0x = 16, which is not possible.