(x-2)^2-6(x-2)+5=0
Find a Value of X

The values of x are:

Step-by-step explanation:

Given the expression

Expand (x - 2)² = x² -4x + 4

Expand: -6(x - 2) = -6x + 12

simplifying

Factor  x² -10x + 21:  (x - 3) (x - 7)

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

solving x - 3 = 0

x - 3 = 0

Adding 3 to both sides

simplify

x = 3

solving x - 7 = 0

x - 7 = 0

Adding 7 to both sides

Simplify

x = 7

Therefore, the values of x are: