Question

Solve equation x(x-2) (x- 1) =0​

Answer 1

x = 0 or x = 1 or x = 2

Explanation:

The product is 0 if one of the factors is 0.

`x(x - 2)(x - 1) = 0\iff x=0\ \vee\ x-2=0\ \vee\ x-1=0\\\\(1)\ x=0\\\\(2)\ x-2=0\qquad\text{add 2 to both sides}\\.\qquad x=2\\\\(3)\ x-1=0\qquad\text{add 1 to both sides}\\.\qquad x=1`