Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.4 - Factoring Trinomials of the Form ax^2+bx+c - Problem Set 6.4 - Page 262: 79

The answer is below.

She is correct. With this being said, it would have been more efficient if she had factored out the eight during the first step, for it is a common factor of all of the given terms. After this, she could have found: 8(x−2)(x−2). Following this, she could have found that the solution set is 2.