Answer
$\{-2\}$
Work Step by Step
Step 1. Given the equation $\sqrt[3] {4x+3}=\sqrt[3] {2x-1}$
Step 2. Raise 3rd power on both sides to get: $4x+3=2x-1$ which gives $x=-2$
Step 3. Check answer in the original equation: $\{-2\}$ fits.
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