6n(7n-6)=0

Solution for 6n(7n-6)=0 equation:

Simplifying
6n(7n + -6) = 0

Reorder the terms:
6n(-6 + 7n) = 0
(-6 * 6n + 7n * 6n) = 0
(-36n + 42n2) = 0

Solving
-36n + 42n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '6n'.
6n(-6 + 7n) = 0

Ignore the factor 6.
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 + 7n)' equal to zero and attempt to solve:

Simplifying
-6 + 7n = 0

Solving
-6 + 7n = 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 + 7n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7n = 0 + 6
7n = 0 + 6

Combine like terms: 0 + 6 = 6
7n = 6

Divide each side by '7'.
n = 0.8571428571

Simplifying
n = 0.8571428571
Solution
n = {0, 0.8571428571}