a^2+19a+18=

Solution for a^2+19a+18= equation:

Simplifying
a2 + 19a + 18 = 0

Reorder the terms:
18 + 19a + a2 = 0

Solving
18 + 19a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(18 + a)(1 + a) = 0

Subproblem 1
Set the factor '(18 + a)' equal to zero and attempt to solve:

Simplifying
18 + a = 0

Solving
18 + a = 0

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

Add '-18' to each side of the equation.
18 + -18 + a = 0 + -18

Combine like terms: 18 + -18 = 0
0 + a = 0 + -18
a = 0 + -18

Combine like terms: 0 + -18 = -18
a = -18

Simplifying
a = -18
Subproblem 2
Set the factor '(1 + a)' equal to zero and attempt to solve:

Simplifying
1 + a = 0

Solving
1 + a = 0

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

Add '-1' to each side of the equation.
1 + -1 + a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + a = 0 + -1
a = 0 + -1

Combine like terms: 0 + -1 = -1
a = -1

Simplifying
a = -1
Solution
a = {-18, -1}