(7n+2)(6n+1)=

Solution for (7n+2)(6n+1)= equation:

Simplifying
(7n + 2)(6n + 1) = 0

Reorder the terms:
(2 + 7n)(6n + 1) = 0

Reorder the terms:
(2 + 7n)(1 + 6n) = 0

Multiply (2 + 7n) * (1 + 6n)
(2(1 + 6n) + 7n * (1 + 6n)) = 0
((1 * 2 + 6n * 2) + 7n * (1 + 6n)) = 0
((2 + 12n) + 7n * (1 + 6n)) = 0
(2 + 12n + (1 * 7n + 6n * 7n)) = 0
(2 + 12n + (7n + 42n2)) = 0

Combine like terms: 12n + 7n = 19n
(2 + 19n + 42n2) = 0

Solving
2 + 19n + 42n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(2 + 7n)(1 + 6n) = 0

Subproblem 1
Set the factor '(2 + 7n)' equal to zero and attempt to solve:

Simplifying
2 + 7n = 0

Solving
2 + 7n = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7n = 0 + -2
7n = 0 + -2

Combine like terms: 0 + -2 = -2
7n = -2

Divide each side by '7'.
n = -0.2857142857

Simplifying
n = -0.2857142857
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 = {-0.2857142857, -0.1666666667}