### Home > PC > Chapter 9 > Lesson 9.3.5 > Problem 9-160

9-160.

Solve for *x*in the simplest manner (no calculator or Quadratic Formula). Homework Help ✎5

*x*^{2}= 15*x*2(

*x*− 6)^{2}+ 5 = 23

1. Do NOT divide both sides by *x*. This will eliminate one of your two answers.

2. Instead, move all terms to one side and set = to 0

Factor. Solve.

2(*x* − 6)^{2} = 18

(*x* − 6)^{2} = 9 *x* − 6 = ± 3*x* = ±3 + 6*x* = 9 *x* = 3