An industrial technician is troubleshooting a control circuit where a multiplier $m$ is determined by the equation $(3m - 2)(2m + 1) = 0$. Following the standard protocol for the Zero Product Property, arrange the steps below in the correct order to solve for $m$.

A manufacturing technician is verifying the calibration of a machine using the control equation $(3m - 2)(2m + 1) = 0$, where $m$ represents an adjustment multiplier. Based on the Zero Product Property, what is the exact first step the technician must recall to begin solving for $m$?

An HVAC technician is adjusting a thermostat's calibration coefficient $m$ using the control equation $(3m - 2)(2m + 1) = 0$. To find the valid settings for $m$, the technician correctly determines that they must solve the two independent linear equations ${}3m - 2 = 0$ and ${}2m + 1 = 0$.

Machine Calibration Multiplier

An industrial technician is calculating a voltage multiplier $m$ using the control equation $(3m - 2)(2m + 1) = 0$. Based on the Zero Product Property, match each part of the solution process with its correct mathematical expression or value.

An apprentice maintenance technician is calibrating a manufacturing conveyor belt controller where the calibration multiplier $m$ must satisfy the equation $(3m - 2)(2m + 1) = 0$. To find the allowed settings using the Zero Product Property, the technician sets each linear factor equal to zero. This leads to two separate calibration equations: ${}3m - 2 = 0$ and ____ = 0.