3n(7n-3)=0

Solution for 3n(7n-3)=0 equation:

Simplifying
3n(7n + -3) = 0

Reorder the terms:
3n(-3 + 7n) = 0
(-3 * 3n + 7n * 3n) = 0
(-9n + 21n2) = 0

Solving
-9n + 21n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(-3 + 7n) = 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 '(-3 + 7n)' equal to zero and attempt to solve:

Simplifying
-3 + 7n = 0

Solving
-3 + 7n = 0

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

Add '3' to each side of the equation.
-3 + 3 + 7n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7n = 0 + 3
7n = 0 + 3

Combine like terms: 0 + 3 = 3
7n = 3

Divide each side by '7'.
n = 0.4285714286

Simplifying
n = 0.4285714286
Solution
n = {0, 0.4285714286}