Answer
$b=-\frac{1}{2}\ or\ b=\frac{1}{2}$
Work Step by Step
$|b|=\frac{1}{2}\longrightarrow$ definition of absolute value
$b=-\frac{1}{2}\ or\ b=\frac{1}{2}$
Check each solution.
$|-\frac{1}{2}|=\frac{1}{2}\checkmark$
$|\frac{1}{2}|=\frac{1}{2}\checkmark$
