How do you solve

(x-5) ^2-4 (x-5) - 21=0

Let's solve your equation step by step.

(x-5) ^2 - 4 (x - 5) - 21 = 0

Step 1: Simply both sides of the equation.

x^2 - 14x + 24=0

Step 2: Factor left side of the equation.

(x - 2) (x - 12) = 0

Step 3: Set factors equal to 0.

x - 2 = 0 or x - 12 = 0

x = 2 or x = 12

Answer:

x = 2 or x = 12