A technician at a manufacturing plant is solving the equation 2/3 u^2 + 5 = 17 to calibrate a machine's operating frequency. According to the standard four-step procedure for the Square Root Property, arrange the following steps in the correct order to solve for u.

A landscaping contractor is using the equation 2/3 u^2 + 5 = 17 to determine the radius (u) of a circular stone patio. After subtracting 5 from both sides to reach the step 2/3 u^2 = 12, what is the specific value that both sides of the equation must be multiplied by to isolate the u^2 term?

A maintenance technician is solving the equation $\frac{2}{3}u^2 + 5 = 17$ to calibrate the tension on a support cable. Match each component of the solution process with its corresponding numerical value or simplified form.

Quality Assurance in Sensor Calibration

Isolating the Quadratic Term in Equipment Maintenance

A manufacturing technician is solving the equation $\frac{2}{3}u^2 + 5 = 17$ to calibrate a machine's output frequency. After isolating the variable and applying the Square Root Property, the technician reaches the step $u = \pm\sqrt{18}$. To simplify this result, the technician must identify the largest perfect square factor of 18, which is ____.

In a structural load-bearing calculation using the equation $\frac{2}{3}u^2 + 5 = 17$, after isolating the variable to the form $u^2 = 18$, the Square Root Property dictates that there is exactly one valid solution for $u$: the positive root $3\sqrt{2}$.

Standard Operating Procedure for Equation Solving

A project estimator is reviewing a technical manual's solution for the equation $\frac{2}{3}u^2 + 5 = 17$. The manual shows that $\sqrt{18}$ is rewritten as $\sqrt{9} \cdot \sqrt{2}$ to facilitate simplification. Which mathematical property is specifically recalled to justify this step?

A manufacturing technician is solving the equation $\frac{2}{3}u^2 + 5 = 17$ to calibrate a machine's operating frequency. According to the standard four-step procedure, which version of the equation should the technician use to perform the final verification check of the calculated solutions?