How do you solve | P-1| = 4 in a absolute value equation

Under a sign of absolute value can stay positive or negative number.

If it is a positive number then the its absolute value is a number.

1) p-1=4

p=4+1

p=5

If it is a negative number then the its absolute value is a opposite of a number.

2) - (p-1) = 4

-p+1=4

-p=4-1

-p=3

p=-3

So, this equation has 2 roots p=5, and p=-3.

Check:

|p-1|=4

|5-1|=4

|4|=4

4=4 True

|p-1|=4

|-3-1|=4

|-4|=4

4=4 True