The cube of a number equals 36 times the same number. Find the number(s).

Equation:  x³  =  36x

This can be written as:  x³ - 36x = 0

Factoring:                 x(x² - 36)  =  0

Factoring again:  x(x - 6)(x + 6)  =  0

So, the answers are:  0, 6, and -6.