# How to do I solve this problem? #3x^2-12=0#

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I can't remember how to do these and just need step by step so I can finish the problem. This is only a portion of my calculus problem but I forget how to do this part. The whole problem is f(x) = x^3-12x+17 find the relative extreme points of the function if they exist. I did the first part and found the derivatives of the problem but now I am stuck at the next step which is what I posted for my question. It's been years since I took algebra so I forget. Thanks!

I can't remember how to do these and just need step by step so I can finish the problem. This is only a portion of my calculus problem but I forget how to do this part. The whole problem is f(x) = x^3-12x+17 find the relative extreme points of the function if they exist. I did the first part and found the derivatives of the problem but now I am stuck at the next step which is what I posted for my question. It's been years since I took algebra so I forget. Thanks!

##### 1 Answer

#### Explanation:

You need to factor

#3(x+2) (x-2)#

and then set each of these (but ignore the

#x+2=0#

#x+2- 2 = 0 - 2#

#x=-2#

and

#x-2=0#

#x-2+2=0+2#

#x=2#

So