### Home > PC > Chapter 2 > Lesson 2.1.1 > Problem 2-11

2-11.

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. Move all variables to one side equal to 0.

2. Factor.

3. Find the values of *x* making the equation true.

1. Subtract 5 from both sides.

2. Then divide both sides by 2.

3. Take the square root of both sides.

4. Be careful with the signs!

5. Solve for values of *x*.