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(n+2)(2n+5)=0 Solve By Factoring

less than a minute read Jun 16, 2024
(n+2)(2n+5)=0 Solve By Factoring

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

  1. Set each factor equal to zero:

    • n + 2 = 0
    • 2n + 5 = 0

  2. 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

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