x(x-16)=0

This equation can be solved using the zero product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero:

x(x-16) = 0

Therefore either x = 0 or x-16 = 0.

To find the values of x that satisfy this equation, solve for x in each case:

If x = 0, then the equation is true because 0(0-16) = 0.

If x-16 = 0, then x = 16. Plugging this value of x back into the original equation, we get:

16(16-16) = 0

which is also true.

Therefore, the solutions to the equation x(x-16) = 0 are x = 0 and x = 16.