Solve (x-1)^2-2(x-1)-3=0

Solving this equation would mean finding the values of x that satisfy it equating to zero. Therefore, to start, you must simplify the equation by expanding all the values to get (x^2-2x+1)-(2x-2)-3=0 [expanding (x-1)^2 by multiplying (x-1)(x-1)] and further expanding and simplifying it to get x^2-4x=0. Once we have a simplified version of the equation, we can then factorise this in order to solve for x. In order to factorise this equation, we can take out a factor of x to get x(x-4)=0 whereby we can see that x multiplied by (x-4) equals to zero suggesting that one of the two values must be equal to zero because anything multiplied by zero is zero. Therefore, there must be two solutions to the equation. x must be equal to 0 or 4 because when x is 0, the equation is zero and when x is 4, the equation is also satisfied.Therefore the answer is x=0 or x=4.