Question

Solve the equation using the Zero-Product Property. –8n(10n – 1) = 0

Answer 1

The answer to your question is n=0 or n=1/10

Answer 2

Answer: The solution is,

$n = 0\text{ or }n = \frac{1}{10}$

Step-by-step explanation:

Since, Zero product property states that if the product of two numbers or expression is equal to zero then either of the numbers or expressions must be equal to zero.

That is, If a.b = 0 ⇒ a = 0 or b = 0

Here, the given expression is,

$-8n(10n-1)=0$

$\implies (-8n)(10n-1)=0$

Thus, by the above property,

$-8n = 0\text{ or }(10n-1)=0$

$\implies n = \frac{0}{-8}\text{ or }10n= 1$

$\implies n = 0\text{ or }n = \frac{1}{10}$