(9n+2)(9n+1)=

Solution for (9n+2)(9n+1)= equation:

Simplifying
(9n + 2)(9n + 1) = 0

Reorder the terms:
(2 + 9n)(9n + 1) = 0

Reorder the terms:
(2 + 9n)(1 + 9n) = 0

Multiply (2 + 9n) * (1 + 9n)
(2(1 + 9n) + 9n * (1 + 9n)) = 0
((1 * 2 + 9n * 2) + 9n * (1 + 9n)) = 0
((2 + 18n) + 9n * (1 + 9n)) = 0
(2 + 18n + (1 * 9n + 9n * 9n)) = 0
(2 + 18n + (9n + 81n2)) = 0

Combine like terms: 18n + 9n = 27n
(2 + 27n + 81n2) = 0

Solving
2 + 27n + 81n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(2 + 9n)(1 + 9n) = 0

Subproblem 1
Set the factor '(2 + 9n)' equal to zero and attempt to solve:

Simplifying
2 + 9n = 0

Solving
2 + 9n = 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 + 9n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9n = 0 + -2
9n = 0 + -2

Combine like terms: 0 + -2 = -2
9n = -2

Divide each side by '9'.
n = -0.2222222222

Simplifying
n = -0.2222222222
Subproblem 2
Set the factor '(1 + 9n)' equal to zero and attempt to solve:

Simplifying
1 + 9n = 0

Solving
1 + 9n = 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 + 9n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9n = 0 + -1
9n = 0 + -1

Combine like terms: 0 + -1 = -1
9n = -1

Divide each side by '9'.
n = -0.1111111111

Simplifying
n = -0.1111111111
Solution
n = {-0.2222222222, -0.1111111111}