### Home > CCA2 > Chapter 1 > Lesson 1.1.2 > Problem1-13

1-13.

Use the Zero Product Property and factoring, when necessary, to solve for x. The Math Notes box for Lesson 1.1.4 may be useful, if you need help. Homework Help ✎

1. $(x+13)(x−7)=0$

Set each factor equal to 0, then solve for x.

$x=−13\ \text{or}\ x=7$

2. $(2x+3)(3x−7)=0$

Refer to part (a).

$x=-\frac{3}{2}\text{ or }x=\frac{7}{3}$

3. $x(x−3)=0$

Refer to part (a).

$x=0\ \text{or}\ x=3$

4. $x^2−5x=0$

Factor the problem first, then set each factor equal to 0 and solve for x.

$x(x−5)=0$

x = 0 or x = 5

5. $x^2−2x−35=0$

Remember to factor first.

6. $3x^2+14x−5=0$

Remember to factor first.