By the Zero Product Property, if (2x - 1)(x - 5) = 0, then

Split into two equations:
[tex]\begin{gathered} 2x-1=0_{\text{ }}(1) \\ x-5=0_{\text{ }}(2) \end{gathered}[/tex]From (1) solve for x:
[tex]\begin{gathered} 2x=1 \\ x=\frac{1}{2} \end{gathered}[/tex]From (2) solve for x:
[tex]x=5[/tex]Answer:
x = 1/2 or x = 5