(6n+2)(6n-1)=

Solution for (6n+2)(6n-1)= equation:

Simplifying
(6n + 2)(6n + -1) = 0

Reorder the terms:
(2 + 6n)(6n + -1) = 0

Reorder the terms:
(2 + 6n)(-1 + 6n) = 0

Multiply (2 + 6n) * (-1 + 6n)
(2(-1 + 6n) + 6n * (-1 + 6n)) = 0
((-1 * 2 + 6n * 2) + 6n * (-1 + 6n)) = 0
((-2 + 12n) + 6n * (-1 + 6n)) = 0
(-2 + 12n + (-1 * 6n + 6n * 6n)) = 0
(-2 + 12n + (-6n + 36n2)) = 0

Combine like terms: 12n + -6n = 6n
(-2 + 6n + 36n2) = 0

Solving
-2 + 6n + 36n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 3n + 18n2) = 0

Factor a trinomial.
2((-1 + -3n)(1 + -6n)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -3n)' equal to zero and attempt to solve:

Simplifying
-1 + -3n = 0

Solving
-1 + -3n = 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 + -3n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3n = 0 + 1
-3n = 0 + 1

Combine like terms: 0 + 1 = 1
-3n = 1

Divide each side by '-3'.
n = -0.3333333333

Simplifying
n = -0.3333333333
Subproblem 2
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
Solution
n = {-0.3333333333, 0.1666666667}