A warehouse manager uses the quadratic equation x^2 + 2x - 8 = 0 to determine the dimensions of a new storage zone. Arrange the following steps in the correct order to solve this equation using the factoring method.

A small business owner is using the factoring method to solve the equation x^2 + 2x - 8 = 0 for a profit analysis. After successfully factoring the expression into (x + 4)(x - 2) = 0, which mathematical property is recalled to justify setting each individual factor equal to zero?

A logistics coordinator is solving the equation x^2 + 2x - 8 = 0 to determine the dimensions of a storage area. To factor the expression x^2 + 2x - 8, the coordinator must find two numbers that multiply to -8 and add to 2. If one of these numbers is 4, the other number is ____.

A logistics coordinator is reviewing a mathematical model used to optimize warehouse shelf placement, represented by the equation $x^2 + 2x - 8 = 0$. To ensure the solution process is documented correctly for a team audit, match each stage of the five-step factoring method with the corresponding mathematical expression produced during that stage.

A production planner is using the equation $x^2 + 2x - 8 = 0$ to determine the dimensions for a new equipment footprint. True or False: To solve this equation using the factoring method, the expression $x^2 + 2x - 8$ is correctly factored into $(x + 4)(x - 2) = 0$.

Procedural Step in Quadratic Factoring

Documenting the Factoring Procedure for Project Modeling

Verifying Machine Stop Points for Production Safety

A project manager is reviewing a resource allocation model represented by the quadratic equation $x^2 + 2x - 8 = 0$. Based on the five-step factoring method used to solve this model, what are the two correct solutions for $x$?

A logistics analyst is training a new team member to use quadratic models for freight optimization. While explaining how to solve the equation $x^2 + 2x - 8 = 0$ using the factoring method, the analyst describes the 'Step 2' requirement for finding the two numbers that will form the factors. What is the specific rule the analyst must recall to identify these two numbers?