Final answer:
To solve the equation 2(x+2)^2 - 4 = 28, add 4 to both sides, divide by 2, take the square root of both sides, and solve for x.
Step-by-step explanation:
To solve the equation 2(x+2)^2 - 4 = 28, start by adding 4 to both sides of the equation to get 2(x+2)^2 = 32. Next, divide both sides by 2 to isolate the squared term, resulting in (x+2)^2 = 16. Take the square root of both sides, remembering to consider both the positive and negative square roots. Finally, solve for x by subtracting 2 from both sides to get x = -4 or x = 2.