Minimum Value of an equation

What is the minimum value of the equation f(x)=4x |2x-4| + x^2|x^2 - 4| where x is an integer. Thanks

try to remove the mod signs

try to remove the mod signs by taking x in the appropriate domain.

Then differentiate the equation and equate to 0. substitute the value in the original equation to get your answer.basic minima stuff.