Here is your answer:
Let's solve your equation step-by-step.
(x−4)2−28=8
Step 1: Simplify both sides of the equation.
x2−8x−12=8
Step 2: Subtract 8 from both sides.
x2−8x−12−8=8−8
x2−8x−20=0
Step 3: Factor left side of equation.
(x+2)(x−10)=0
Step 4: Set factors equal to 0.
x+2=0 or x−10=0
x=−2 or x=10
Answer:
x=−2 or x=10
