10n^2+29n+18=0

Solution for 10n^2+29n+18=0 equation:

Simplifying
10n2 + 29n + 18 = 0

Reorder the terms:
18 + 29n + 10n2 = 0

Solving
18 + 29n + 10n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(2 + n)(9 + 10n) = 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 '(9 + 10n)' equal to zero and attempt to solve:

Simplifying
9 + 10n = 0

Solving
9 + 10n = 0

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

Add '-9' to each side of the equation.
9 + -9 + 10n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 10n = 0 + -9
10n = 0 + -9

Combine like terms: 0 + -9 = -9
10n = -9

Divide each side by '10'.
n = -0.9

Simplifying
n = -0.9
Solution
n = {-2, -0.9}