9n^2+18n+14=6

Solution for 9n^2+18n+14=6 equation:

Simplifying
9n2 + 18n + 14 = 6

Reorder the terms:
14 + 18n + 9n2 = 6

Solving
14 + 18n + 9n2 = 6

Solving for variable 'n'.

Reorder the terms:
14 + -6 + 18n + 9n2 = 6 + -6

Combine like terms: 14 + -6 = 8
8 + 18n + 9n2 = 6 + -6

Combine like terms: 6 + -6 = 0
8 + 18n + 9n2 = 0

Factor a trinomial.
(4 + 3n)(2 + 3n) = 0

Subproblem 1
Set the factor '(4 + 3n)' equal to zero and attempt to solve:

Simplifying
4 + 3n = 0

Solving
4 + 3n = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3n = 0 + -4
3n = 0 + -4

Combine like terms: 0 + -4 = -4
3n = -4

Divide each side by '3'.
n = -1.333333333

Simplifying
n = -1.333333333
Subproblem 2
Set the factor '(2 + 3n)' equal to zero and attempt to solve:

Simplifying
2 + 3n = 0

Solving
2 + 3n = 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 + 3n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3n = 0 + -2
3n = 0 + -2

Combine like terms: 0 + -2 = -2
3n = -2

Divide each side by '3'.
n = -0.6666666667

Simplifying
n = -0.6666666667
Solution
n = {-1.333333333, -0.6666666667}