### Home > INT3 > Chapter 1 > Lesson 1.1.2 > Problem1-23

1-23.

Use the Zero Product Property to solve for $x$.

1. $(x+13)(x-7)=0$

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

$x=−13$ or $x=7$

1. $(2x+3)(3x-7)=0$

Refer to part (a).

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

1. $x(x-3)=0$

Refer to part (a).

$x=0$ or $x=3$

1. $x^2-5x=0$

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

$x(x−5)=0$

$x=0$ or $x=5$

1. $x^2-2x-35=0$

Remember to factor first.

1. $3x^2+14x-5=0$

Remember to factor first.