a^2+12a+8=-3

Solution for a^2+12a+8=-3 equation:

Simplifying
a2 + 12a + 8 = -3

Reorder the terms:
8 + 12a + a2 = -3

Solving
8 + 12a + a2 = -3

Solving for variable 'a'.

Reorder the terms:
8 + 3 + 12a + a2 = -3 + 3

Combine like terms: 8 + 3 = 11
11 + 12a + a2 = -3 + 3

Combine like terms: -3 + 3 = 0
11 + 12a + a2 = 0

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

Subproblem 1
Set the factor '(11 + a)' equal to zero and attempt to solve:

Simplifying
11 + a = 0

Solving
11 + a = 0

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

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

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

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

Simplifying
a = -11
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 = {-11, -1}