Answer
The equation $|ax+b|=c$ will have no solution when $c \lt 0$
Work Step by Step
An absolute value equation of the form $|ax+b|=c$ will have no solution when $c\lt0$.
For example:
$|2x+2|= -1$
The value of $|2x+2|$ is non-negative therefore $|2x+2|$ will never be equal to $-1$.