In a metal fabrication shop, a technician determines that a scale factor $x$ for a custom part must satisfy the quadratic equation ${}36x^2 = 121$. To find the value of $x$ using the factoring method, match each stage of the solution process with its corresponding mathematical expression.

An HVAC technician is solving the quadratic equation ${}36x^2 = 121$ to calculate the airflow requirements through a square-shaped vent. To solve the equation by factoring, it is first rewritten in standard form as ${}36x^2 - 121 = 0$. Which specific factoring pattern should the technician apply to this binomial?

A manufacturing technician is calculating a scale factor $x$ for a square component. The technician needs to solve the equation ${}36x^2 = 121$ by factoring. Arrange the following steps in the correct order to solve for $x$.

An HVAC technician is solving the quadratic equation ${}36x^2 = 121$ to calculate the side length of a square duct. To solve the equation by factoring, the technician must first rewrite it in standard form by setting it equal to zero. Fill in the blank to complete the standard form of this specific equation: ${}36x^2 - \_\_\_\_ = 0$.

A sheet metal technician is solving the equation ${}36x^2 = 121$ to calculate the dimensions of a square ventilation panel. True or False: To solve this equation using the factoring method, the first two steps involve rewriting the equation in standard form as ${}36x^2 - 121 = 0$ and then factoring it into $(6x - 11)(6x + 11) = 0$.