Question

Solve the absolute value equation |4n+ 4| + 20 = 1.

Answer 1

The equation is |4n+4| +20 = 1.

First rewrite the above equation in the form |ax+b| = c where c ≥0 and it is equivalent to the statement  ax+b = c or ax+b = - c.

Subtract 20 from each side.

|4n+4| +20 -20 = 1-20

|4n+4| = -19.

The absolute value of a number is never negative. So, there are no solutions.