12n(2n-5)=

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

Simplifying
12n(2n + -5) = 0

Reorder the terms:
12n(-5 + 2n) = 0
(-5 * 12n + 2n * 12n) = 0
(-60n + 24n2) = 0

Solving
-60n + 24n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '12n'.
12n(-5 + 2n) = 0

Ignore the factor 12.
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 '(-5 + 2n)' equal to zero and attempt to solve:

Simplifying
-5 + 2n = 0

Solving
-5 + 2n = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2n = 0 + 5
2n = 0 + 5

Combine like terms: 0 + 5 = 5
2n = 5

Divide each side by '2'.
n = 2.5

Simplifying
n = 2.5
Solution
n = {0, 2.5}