3n(2n-5)=0

Solution for 3n(2n-5)=0 equation:

Simplifying
3n(2n + -5) = 0

Reorder the terms:
3n(-5 + 2n) = 0
(-5 * 3n + 2n * 3n) = 0
(-15n + 6n2) = 0

Solving
-15n + 6n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(-5 + 2n) = 0

Ignore the factor 3.
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}