Answer
$\{0,2\}$
Work Step by Step
Factor out $4z^2$.
$4z^2(z-2)=0$
Use the Zero-Product Property.
$4z^2=0$ or $z-2=0$
SOlve each equation for $z$.
$z=0$ or $z=2$
Hence, the solution set of the equation is $\{0,2\}$.
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