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

1 Answer
May 29, 2017

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