Question

1. $p(p + 8)=0$
2. $x(x + 2)=0$
3. $(n - 4)(6n - 1)=0$

Explanation:

Step1: Apply zero product property

Set each factor equal to 0:
$p=0$ or $p+8=0$

Step2: Solve for $p$

For $p+8=0$, $p=-8$
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Step1: Apply zero product property

Set each factor equal to 0:
$x=0$ or $x+2=0$

Step2: Solve for $x$

For $x+2=0$, $x=-2$
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Step1: Apply zero product property

Set each factor equal to 0:
$n-4=0$ or $6n-1=0$

Step2: Solve for $n$

For $n-4=0$, $n=4$; for $6n-1=0$, $n=\frac{1}{6}$

Answer:

1. $p=0$ or $p=-8$
2. $x=0$ or $x=-2$
3. $n=4$ or $n=\frac{1}{6}$