Solving (n+2)(2n+5)=0 by Factoring
This equation is already in factored form, making it very simple to solve. Here's how:
Understanding the Zero Product Property
The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be zero.
Applying the Property to Solve the Equation

Set each factor equal to zero:
 n + 2 = 0
 2n + 5 = 0

Solve for n in each equation:
 n + 2 = 0 => n = 2
 2n + 5 = 0 => 2n = 5 => n = 5/2
Solutions
Therefore, the solutions to the equation (n+2)(2n+5)=0 are:
 n = 2
 n = 5/2