Explain why the equation (x-4)²-28=8 has two solutions. Solve the equation to find the solutions. Show work.

what did I do wrong for the equation below?

x²-6x-7=0

x²-6x=7

x²-6x+9=7+9

(x-3)²=16

x-3=16

x=19

x-3=-16

x=-13

please show your work compared to mine.

Use the quadratic formula to solve x²-4x+3. Then describe the solution???