### Home > PC > Chapter 2 > Lesson 2.1.1 > Problem2-11

2-11.

Solve for $x$ in the simplest manner (no calculator or Quadratic Formula).

1. $5x^2=15x$

1. Move all variables to one side equal to $0$.
2. Factor.
3. Find the values of $x$ making the equation true.

2. $2(x-6)^2+5=23$

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 $x$.