I think I'm doing something wrong?

I have to minimize f(x)=(1/2)(x^T)Ax+(b^T)x+c. So I derived and thought I should have gotten Ax-b then rearrange it to Ax=b. However, as I use Gaussian Elimination, it got me wondering where the c comes in because I'm solving for Ax=b for finding absolute minimum. 

A=2x2 matrix
b=2x1 matrix
c=1x1 matrix

2020-04-30T04:14:21Z

Is it possible they added the c to throw me off?

2020-04-30T04:15:33Z

I want to do this myself which is why I didn't put in any values. I guess if you want to make up your own example that's fine.

2017-04-11T00:37:33.809Z