### Home > PC > Chapter 1 > Lesson 1.2.1 > Problem 1-72

1-72.

Solve the following equations. Homework Help ✎ 3(

*x*− 2) − 2(*x*+ 7) = 2*x*+ 17*x*^{2}+ 3*x*− 10 = 0*x*^{2}− 7*x*= − 12*x*^{3}+*x*^{2}= 6*x*

What kind of equation is this?

It is linear. Distribute and solve for *x*.

What kind of equation is this?

This is a quadratic equation.

What are three techniques for solving for *x*?

1. Factor and use the Zero Product Property.

2. Use the Quadratic Formula.

3. Graph and find the *x*-intercepts.

Set the equation equal to 0. Then factor and use the Zero Product Property.

Move all of the variables to the left side and factor out an *x* first. Then factor the remaining trinomial.