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

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

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

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

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

Multiply (1 + 7n) * (2 + n)
(1(2 + n) + 7n * (2 + n)) = 0
((2 * 1 + n * 1) + 7n * (2 + n)) = 0
((2 + 1n) + 7n * (2 + n)) = 0
(2 + 1n + (2 * 7n + n * 7n)) = 0
(2 + 1n + (14n + 7n2)) = 0

Combine like terms: 1n + 14n = 15n
(2 + 15n + 7n2) = 0

Solving
2 + 15n + 7n2 = 0

Solving for variable 'n'.

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

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

Simplifying
2 + n = 0

Solving
2 + n = 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 + n = 0 + -2

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

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

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

Simplifying
1 + 7n = 0

Solving
1 + 7n = 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 + 7n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7n = 0 + -1
7n = 0 + -1

Combine like terms: 0 + -1 = -1
7n = -1

Divide each side by '7'.
n = -0.1428571429

Simplifying
n = -0.1428571429
Solution
n = {-2, -0.1428571429}