9n^2+47n+10=0

Solution for 9n^2+47n+10=0 equation:

Simplifying
9n2 + 47n + 10 = 0

Reorder the terms:
10 + 47n + 9n2 = 0

Solving
10 + 47n + 9n2 = 0

Solving for variable 'n'.

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

Subproblem 1
Set the factor '(5 + n)' equal to zero and attempt to solve:

Simplifying
5 + n = 0

Solving
5 + n = 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 + n = 0 + -5

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

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

Simplifying
n = -5
Subproblem 2
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
Solution
n = {-5, -0.2222222222}