(6n-1)(6n-5)=0

Solution for (6n-1)(6n-5)=0 equation:

Simplifying
(6n + -1)(6n + -5) = 0

Reorder the terms:
(-1 + 6n)(6n + -5) = 0

Reorder the terms:
(-1 + 6n)(-5 + 6n) = 0

Multiply (-1 + 6n) * (-5 + 6n)
(-1(-5 + 6n) + 6n * (-5 + 6n)) = 0
((-5 * -1 + 6n * -1) + 6n * (-5 + 6n)) = 0
((5 + -6n) + 6n * (-5 + 6n)) = 0
(5 + -6n + (-5 * 6n + 6n * 6n)) = 0
(5 + -6n + (-30n + 36n2)) = 0

Combine like terms: -6n + -30n = -36n
(5 + -36n + 36n2) = 0

Solving
5 + -36n + 36n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + -6n)(5 + -6n) = 0

Subproblem 1
Set the factor '(1 + -6n)' equal to zero and attempt to solve:

Simplifying
1 + -6n = 0

Solving
1 + -6n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6n = 0 + -1
-6n = 0 + -1

Combine like terms: 0 + -1 = -1
-6n = -1

Divide each side by '-6'.
n = 0.1666666667

Simplifying
n = 0.1666666667
Subproblem 2
Set the factor '(5 + -6n)' equal to zero and attempt to solve:

Simplifying
5 + -6n = 0

Solving
5 + -6n = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6n = 0 + -5
-6n = 0 + -5

Combine like terms: 0 + -5 = -5
-6n = -5

Divide each side by '-6'.
n = 0.8333333333

Simplifying
n = 0.8333333333
Solution
n = {0.1666666667, 0.8333333333}