Solve (x-1)^2 = 16

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To solve the equation (x-1)^2 = 16, you can follow these steps:

Step 1: Expand the equation:
(x-1)^2 = 16
(x-1)(x-1) = 16
x^2 - 2x + 1 = 16

Step 2: Subtract 16 from both sides to isolate x:
x^2 - 2x + 1 - 16 = 16 - 16
x^2 - 2x - 15 = 0

Step 3: Now, let's factor the equation:
(x-5)(x+3)=0

Step 4: Apply the zero product property:
x-5 = 0 or x+3 = 0

Step 5: Solve for x in each equation:
x = 5 or x = -3

So, the solutions to the equation (x-1)^2 = 16 are x = 5 and x = -3.