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

May 29, 2017

$x = - \frac{1}{8} \mathmr{and} - \frac{3}{8}$

#### 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:
$4 x + 1 = 0.5 \iff 4 x = - 0.5 \iff x = - \frac{1}{8}$

Solution 2:
$4 x + 1 = - 0.5 \iff 4 x = - 1.5 \iff x = - \frac{3}{8}$