11a^2+39a+18=0

Solution for 11a^2+39a+18=0 equation:

Simplifying
11a2 + 39a + 18 = 0

Reorder the terms:
18 + 39a + 11a2 = 0

Solving
18 + 39a + 11a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3 + a)(6 + 11a) = 0

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

Simplifying
3 + a = 0

Solving
3 + a = 0

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

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

Combine like terms: 3 + -3 = 0
0 + a = 0 + -3
a = 0 + -3

Combine like terms: 0 + -3 = -3
a = -3

Simplifying
a = -3
Subproblem 2
Set the factor '(6 + 11a)' equal to zero and attempt to solve:

Simplifying
6 + 11a = 0

Solving
6 + 11a = 0

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

Add '-6' to each side of the equation.
6 + -6 + 11a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11a = 0 + -6
11a = 0 + -6

Combine like terms: 0 + -6 = -6
11a = -6

Divide each side by '11'.
a = -0.5454545455

Simplifying
a = -0.5454545455
Solution
a = {-3, -0.5454545455}