4n(6-7n)=

Solution for 4n(6-7n)= equation:

Simplifying
4n(6 + -7n) = 0
(6 * 4n + -7n * 4n) = 0
(24n + -28n2) = 0

Solving
24n + -28n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4n'.
4n(6 + -7n) = 0

Ignore the factor 4.
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}