n(3n-8)=0

Solution for n(3n-8)=0 equation:

Simplifying
n(3n + -8) = 0

Reorder the terms:
n(-8 + 3n) = 0
(-8 * n + 3n * n) = 0
(-8n + 3n2) = 0

Solving
-8n + 3n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-8 + 3n) = 0

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 '(-8 + 3n)' equal to zero and attempt to solve:

Simplifying
-8 + 3n = 0

Solving
-8 + 3n = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3n = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3n = 0 + 8
3n = 0 + 8

Combine like terms: 0 + 8 = 8
3n = 8

Divide each side by '3'.
n = 2.666666667

Simplifying
n = 2.666666667
Solution
n = {0, 2.666666667}