Question 134053
Given: {{{x(x-1)^2=0}}}
find the roots.

What does it mean to be a root of an equation? That is a value of x that yields a solution.

In order for a product of terms to equal zero, at least one term must be 0. (Since 0 times anything is 0)

{{{x(x-1)^2=0}}}
{{{x(x-1)(x-1)=0}}}
so, either x = 0 or (x-1) = 0 or (x-1) = 0

roots are 0, 1, 1