Answer
$0,\frac{5}{2}$
Work Step by Step
Step 1. Letting $u=2x-1$, we have $u^2-3u-4=0 \longrightarrow (u+1)(u-4)=0 \longrightarrow u=-1, 4$
Step 2. For $u=-1$, we have $2x-1=-1 \longrightarrow x=0$
Step 3. For $u=4$, we have $2x-1=4 \longrightarrow x=\frac{5}{2}$