Question Use the square roots property to solve the quadratic equation \( (6 u+1)^{2}=25 \). If there are multiple answers, list them separated by a comma, e.g. 1,2 . If there is no solution, enter \( \varnothing \).

To solve the equation \( (6u + 1)^{2} = 25 \), first, take the square root of both sides. This gives us two equations: \( 6u + 1 = 5 \) and \( 6u + 1 = -5 \). Solving the first equation: \( 6u + 1 = 5 \) \( 6u = 4 \) \( u = \frac{4}{6} = \frac{2}{3} \). Now, solving the second equation: \( 6u + 1 = -5 \) \( 6u = -6 \) \( u = -1 \). Thus, the solutions are \( \frac{2}{3}, -1 \).