Verified answer

I assume that's (x - 2)/(x - 1) = 0.

Multiply both sides by (x - 1):

x - 2 = 0

Add 2 to both sides; x = 2.

Since the answer is equal to 0 you can set your numerator to 0 so x-2 = 0 because if either the numerator is 0 it will give you 0 as an answer. You cannot have a 0 in the denominator because you cannot divide by 0 so the answer is 2.

x-2/x-1=0

x-2/x-1=0

(x^2-2-x)/x=0

x^2 -2-x=0*x

x^2 - x- 2=0

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

x^2-2x+x-2=0

x(x-2)+1(x-2)=0

(x-2)(X+1)=0

Therefore, x=2 or -1