Answer:
Option (d) is correct.
Using the Zero-Product Property, on the given equation -6n(10n-8)=0 gives n = 0 or [tex]n=\frac{8}{10}=\frac{4}{5}[/tex]
Step-by-step explanation:
Consider the given equation , [tex]-6n(10n-8)=0[/tex]
Zero- product property states that if the product of two term is zero then either first term is zero or second term is zero
That is [tex]m.n=0 \Rightarrow m=0\ \text{or} \ n=0[/tex]
For the given equation [tex]-6n(10n-8)=0[/tex]
Applying zero-product property, we get,
[tex]-6n(10n-8)=0[/tex]
then either -6n = 0 or (10n-8) = 0
⇒ n = 0 or [tex]n=\frac{8}{10}=\frac{4}{5}[/tex]
Thus, using the Zero-Product Property, on the given equation -6n(10n-8)=0 gives n = 0 or [tex]n=\frac{8}{10}=\frac{4}{5}[/tex]
