Correct answer only what are the roots of the equation? 6x^3 − 12x^2 − 48x = 0

The answer is {-2,0,4}

Here's how I got my

Step 1: Factor out the common term, 6x.

Step 2: Factor .

Step 3: Then solve to get your answers.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18