Question

How do you solve `abs(4x+1)=0.5`?

Answer 1

`x = -1/8 or -3/8`

Explanation:

To solve this, you rewrite it like this:
#|4x+1| = 0.5 ⇔ 4x+1 = +- 0.5#

This means the equation has two solutions:
Solution 1:
`4x+1=0.5 iff 4x = -0.5 iff x = -1/8`

Solution 2:
`4x+1 = -0.5 iff 4x = -1.5 iff x = -3/8`