Answer: The solution is,
[tex]x=-\frac{1}{3}[/tex] or [tex]x=5[/tex]
Step-by-step explanation:
The Zero Product Property states that if ab = 0, then either a=0 or b=0 (or both).
Here, the given expression,
[tex](3x+1)(x-5)=0[/tex]
By the above property,
[tex]3x+1=0[/tex] or [tex](x-5)=0[/tex]
[tex]\implies 3x = - 1\text{ or } x = 5[/tex]
[tex]\implies x = - \frac{1}{3}\text{ or } x = 5[/tex]
