Question Use the square roots property to solve the quadratic equation \( (2 a+2)^{2}=100 \). 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 quadratic equation \( (2a + 2)^2 = 100 \), we first take the square root of both sides. This gives us two equations to work with: 1. \( 2a + 2 = 10 \) 2. \( 2a + 2 = -10 \) Now, we solve each equation separately: For the first equation: \( 2a + 2 = 10 \) Subtract 2 from both sides: \( 2a = 8 \) Now divide by 2: \( a = 4 \) For the second equation: \( 2a + 2 = -10 \) Subtract 2 from both sides: \( 2a = -12 \) Now divide by 2: \( a = -6 \) Thus, the solutions to the equation are \( 4, -6 \).