solve the given equation for the value of c for all real x with proper explanations
c(xsquare)-12+6cx<0

sir/mam please give me answer with proper explanation because I am not able to solve this equation further

1. Put the terms in c together.
2. Factor c.

Can you do that for the time being?

sir I am not able to solve this equation .
I have tried my best

It's not my fault if you don't know how to solve the equation. I'm here to give you guidance and if you need more, you need to ask. It's just like learning to ride a bicycle. Practically nobody just knows how to ride a bicycle the first time through, they would fall many many times before being able to ride bicycles and even more practice to be able to make awesome moves with their bicycles.

If you have tried your best, show what is that best you're talking about :)

PS: Negative ratings are for bad answers and my post gives you the way towards the answer, which is not at all incorrect, far from that.

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sir I am not able to solve this equation .
I have tried my best

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Then I suggest that you listen to Unky, follow the steps he's giving you, and learn.

We don't do homework on this site. We can help you, but we won't give you the answer. You have to do the work. It's your homework, not ours.

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ApoorvGoel does not find this helpful : he does not show how to solve this question

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Giving Unky a negative rating because he wouldn't do your work for you is not only against the rules of this site, but it's rude. We all volunteer here. I suggest you be a bit more polite and grateful for the help you're getting, otherwise you may not get any more. :(