As a trainee in the engineering drafting department, you are required to document the standard mathematical procedures used to determine part dimensions. For an upcoming training manual, you need to outline the correct procedure for solving the equation ${}2d^2 - 5d = 3$. Arrange the following steps for solving this equation by factoring in the proper sequence.

In your role as a manufacturing technician, you are analyzing the tension on a mechanical component using the equation ${}2d^2 - 5d = 3$. To find the displacement $d$ by factoring, you must perform several algebraic steps. Match each stage of the solution process with its correct mathematical representation for this specific problem.

As a maintenance technician, you are using a reference manual to calibrate a machine part where the displacement $d$ is determined by the quadratic equation ${}2d^2 - 5d = 3$. According to the standard procedure for solving this equation by factoring, which two values of $d$ are the correct solutions?

In your role as a warehouse manager, you are using the quadratic equation ${}2d^2 - 5d = 3$ to determine the optimal distance $d$ between storage racks. To solve this equation using the factoring method, the first step is to rearrange it into the standard form ${}2d^2 - 5d - 3 = 0$.

Determining Solutions for ${}2d^2 - 5d = 3$