## College Algebra 7th Edition

$z=0$ or $z=\sqrt[3]{\frac{5}{2}}$
We solve by factoring: $4z^{5}-10z^{2}=0$ $2z^{2}(2z^{3}-5)=0$ $2z^{2}=0$ or $2z^{3}-5=0$ $z^2=0$ or $z^3=5/2$ $z=0$ or $z=\sqrt[3]{\frac{5}{2}}$