5n(12-2n)=

Solution for 5n(12-2n)= equation:

Simplifying
5n(12 + -2n) = 0
(12 * 5n + -2n * 5n) = 0
(60n + -10n2) = 0

Solving
60n + -10n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '10n'.
10n(6 + -1n) = 0

Ignore the factor 10.
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 '(6 + -1n)' equal to zero and attempt to solve:

Simplifying
6 + -1n = 0

Solving
6 + -1n = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 0 + -6
-1n = 0 + -6

Combine like terms: 0 + -6 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6
Solution
n = {0, 6}