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Mathematics 11 Online
OpenStudy (anonymous):

c^2=8c

OpenStudy (anonymous):

no that isn't the original problem... the original problem is c^2=8c how do you get from that to c^2-8c=0

OpenStudy (anonymous):

ok...

OpenStudy (anonymous):

that doesnt help though

OpenStudy (radar):

There is an old saying, "What one does to one side of the equation, he must do unto the other. c^2=8c Now subtract 8c from both sides. Now you have: c^2-8c=8c-8c c^2=0

OpenStudy (anonymous):

thank you

OpenStudy (radar):

OOOPs, typo alert that last line should be c^2-8c=0

OpenStudy (radar):

I think you get the general idea.

OpenStudy (anonymous):

no now i am completely confused again....

OpenStudy (radar):

I subtracted 8c from both sides getting: c^2-8c=8c-8c but we know 8c-8c=0 so we have c^2-8c=0

OpenStudy (anonymous):

so then what do you do?

OpenStudy (radar):

Then you do what Luis Rivera did. First he factored the left hand side getting c(c-8)=0 Do you see how that is the factored (c^2-8c)?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

then what?

OpenStudy (radar):

Now here is an important tip. When you have a product of factors equal to 0, then at least one of the factors has to be zero, or maybe all of them will be zero.

OpenStudy (anonymous):

ok thanks for the tip. can you explain the rest of the problem please?

OpenStudy (anonymous):

how do you go from c(c-8)=0 to c=8?

OpenStudy (radar):

So with that tip in mind and "c(c-8)=0" then c=0 or c-8=0 if c-8=0, then c=8 you test them to verify

OpenStudy (radar):

If c-8=0 you solve by adding 8 to both sides c-8+8=0+8 c=8

OpenStudy (anonymous):

there has to be an easier way to do this this makes no sense

OpenStudy (radar):

Now for the test the original problem was c^2=8c test the c=0............0^2=8(0) 0=0 Good answer test the c=8 8^2=8(8)...........64=64 Good answer

OpenStudy (radar):

If it doesn't makes sense then as Luis Rivera says review and understand the principles of algebra.

OpenStudy (anonymous):

k thanks for ur help

OpenStudy (radar):

No problem, did you see how they check out?

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