### Home > INT3 > Chapter 7 > Lesson 7.1.3 > Problem7-41

7-41.

Solve each of the following equations.

1. $\left(x + 4\right)\left(2x – 5\right) = 0$

Use the Zero Product Property.

2. $\left(x + 4\right)\left(x^{2} – 5x + 6\right) = 0$

Factor the quadratic expression and use the Zero Product Property.

$x = –4, 2,\text{ or } 3$

3. $3x\left(x + 1\right)\left(2x – 7\right)\left(3x + 4\right)^{2}\left(x – 13\right)\left(x + 7\right) = 0$

Since the expression on the left is written as a product equal to zero, set each factor equal to zero and solve.

4. Describe how to solve an equation made up of any number of factors whose product is zero.

What did you do to solve the equations in parts (a) through (c)?