-9n(7n-6)=0

Solution for -9n(7n-6)=0 equation:

Simplifying
-9n(7n + -6) = 0

Reorder the terms:
-9n(-6 + 7n) = 0
(-6 * -9n + 7n * -9n) = 0
(54n + -63n2) = 0

Solving
54n + -63n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '9n'.
9n(6 + -7n) = 0

Ignore the factor 9.
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}