### Home > PC > Chapter 1 > Lesson 1.2.1 > Problem1-72

1-72.

Solve the following equations.

1. $3\left(x − 2\right) − 2\left(x + 7\right) = 2x + 17$

What kind of equation is this?

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

1. $x^{2} + 3x − 10 = 0$

What kind of equation is this?

What are three techniques for solving for x?

1. Factor and use the Zero Product Property.
1. $x^{2} − 7x = − 12$
1. $x^{3} + x^{2} = 6x$