A technician is solving the quadratic equation ${}25p^2 = 49$ to determine the tension setting for a piece of equipment. Arrange the following steps in the correct order to solve this equation using the factoring method.

In a manufacturing facility, a technician is solving the equation ${}25p^2 = 49$ to calculate the tolerance of a precision part. To solve this using the factoring method, the technician first rewrites the equation in standard form as ${}25p^2 - 49 = 0$. Which of the following is the correct factored form of the expression ${}25p^2 - 49$?

A safety inspector at a manufacturing plant is verifying the stress limits for a support bracket. The verification involves solving the quadratic equation ${}25p^2 = 49$ using the factoring method. Match each step of the solution process with its correct mathematical representation.

Initial Steps of the Factoring Method for Tool Calibration

In a manufacturing facility, a quality control technician is solving the equation ${}25p^2 = 49$ to determine a component's tolerance. To solve by factoring, the technician first rewrites the equation as ${}25p^2 - 49 = 0$. Using the difference of squares identity, the technician factors the expression into $({}5p - 7)$ and ____.

A quality control analyst at an electronics manufacturing plant uses the quadratic equation ${}25p^2 = 49$ to model the tolerance of a microchip component. When solving this equation using the factoring method, the analyst should first rewrite the equation in standard form as ${}25p^2 + 49 = 0$.

Standard Operating Procedure for Tension Calibration Verification