2n(3n-12)=0

Solution for 2n(3n-12)=0 equation:

Simplifying
2n(3n + -12) = 0

Reorder the terms:
2n(-12 + 3n) = 0
(-12 * 2n + 3n * 2n) = 0
(-24n + 6n2) = 0

Solving
-24n + 6n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n'.
6n(-4 + n) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n = 0
Subproblem 2
Set the factor '(-4 + n)' equal to zero and attempt to solve:

Simplifying
-4 + n = 0

Solving
-4 + n = 0

Move all terms containing n to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + n = 0 + 4
n = 0 + 4

Combine like terms: 0 + 4 = 4
n = 4

Simplifying
n = 4
Solution
n = {0, 4}