Question

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

Answer 1

@Sachintha @nincompoop

Answer 2

@Kainui @UsukiDoll

Answer 3

if a*b=0 then either a=0 or b=0

Answer 4

I know how to use the Zero-Product Property, but I'm unsure what to do to get the equation in form if ab=0 then a=0 or b=0

Answer 5

make a guess

Answer 6

umm use the distribute property?

Answer 7

(-8n*8n)(-8n*-8)=0
Is this correct?

Answer 8

hello?

Answer 9

Well, if you understand how to use the zero product property, can you explain it? That might be helpful.

Answer 10

Right now you have -8n(8n-8)=0. Do you agree that -8n is being multiplied by 8n-8?

Answer 11

yea

Answer 12

this is bs, thanks for your "help".. smh

Answer 13

Kainui did a fine job leading you to the answer. Look at what you know:
1) You agree that if \( ab = 0 \implies a = 0 \) or \( b = 0 \).
2) You agree that \(-8n(8n-8) = 0 \) is \( -8n \) being multiplied by \( (8n-8) \)

Since \(-8n(8n-8) \) equals \( 0 \) AND it is the multiplication of two factors, it would follow that you can use the Zero-Product Property.

The question is what is \(a\) and what is \(b\) in \(-8n(8n-8) = 0 \)?

Answer 14

that's what I need help on.. duhh

Answer 15

You agree that \(-8n\) and \((8n-8)\) are multiplying by each other. What are \(a\) and \(b\) doing?

Answer 16

(-8n*8n)= a
(-8n*8)= b
???

Answer 17

\(\Large a\times b= 0 \quad\Rightarrow \quad a=0 ~{\sf or}~ b=0\)
\(\Large -8n\times (8n-8)= 0 \quad\Rightarrow \quad?\)

Answer 18

Note we said -8n and (8n-8) are multiplying, not the ones you have shown. It seems you've used the distributive property, but this undoes the multiplication of the factors.

Answer 19

clearly, I'm confused.. If i'm asking you guys for help, how should I know what to do?

Answer 20

Yes, but we are concerned about the disconnect. The answer should be
a = -8n and b = (8n-8) because these are the factors being multiplied. By distributing, the problem no longer has two factors being multiplied equal to zero.

Answer 21

-8n=0 and 8n-8 =0

Answer 22

Correct, then just solve for n

Answer 23

I already know the answer is (1,-2)...

Answer 24

Where was that gotten from? It should be 0, 1.

Answer 25

I'm here to learn, not just to take the final answer and leave.. btw yea I meant (0,1)

Answer 26

So can one of you guys show me how to work this problem out?

Answer 27

hello?

Answer 28

\(-8n=0\)
What do you get by dividing both sides by -8?

Answer 29

you have two cases
-8n=0
and 8n-8=0
solve each equation for n

Answer 30

n=(0/-8)
n=0

Answer 31

yes n =0 for one case
now solve 8n-8=0

Answer 32

(8n/8) = (8/8)
n=1

Answer 33

mhm so the final answer is n = 0 and n = 1

Answer 34

my real question is why did this take an hour? :/

Answer 35

I'm not giving anyone a medal, this took a freaking hour.. and I solved the question myself

Answer 36

ik. I feel your pain. This should've been 2 minutes...tops

Answer 37

I already knew the correct answer in the first place, I just needed somebody to help show me the steps.