Answer:
[tex]\begin{gathered} \text{ Solutions for the polynomial:} \\ y=-\frac{5}{4},\text{ 0, }\frac{5}{4} \end{gathered}[/tex]Step-by-step explanation:
Use common factor to factor ''y'':
[tex]y(16y^2-25)=0[/tex]Now, factor by grouping the perfect binomial:
[tex]\begin{gathered} y(4y+5)(4y-5)=0 \\ \text{ Solve each factor independently:} \\ y=0 \\ \\ 4y+5=0 \\ y=-\frac{5}{4} \\ \\ 4y-5=0 \\ y=\frac{5}{4} \end{gathered}[/tex]