9n^2+59n+30=0

Solution for 9n^2+59n+30=0 equation:

Simplifying
9n2 + 59n + 30 = 0

Reorder the terms:
30 + 59n + 9n2 = 0

Solving
30 + 59n + 9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(6 + n)(5 + 9n) = 0

Subproblem 1
Set the factor '(6 + n)' equal to zero and attempt to solve:

Simplifying
6 + n = 0

Solving
6 + n = 0

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

Add '-6' to each side of the equation.
6 + -6 + n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + n = 0 + -6
n = 0 + -6

Combine like terms: 0 + -6 = -6
n = -6

Simplifying
n = -6
Subproblem 2
Set the factor '(5 + 9n)' equal to zero and attempt to solve:

Simplifying
5 + 9n = 0

Solving
5 + 9n = 0

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

Add '-5' to each side of the equation.
5 + -5 + 9n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 9n = 0 + -5
9n = 0 + -5

Combine like terms: 0 + -5 = -5
9n = -5

Divide each side by '9'.
n = -0.5555555556

Simplifying
n = -0.5555555556
Solution
n = {-6, -0.5555555556}