a^2+6a+9=4

Solution for a^2+6a+9=4 equation:

Simplifying
a2 + 6a + 9 = 4

Reorder the terms:
9 + 6a + a2 = 4

Solving
9 + 6a + a2 = 4

Solving for variable 'a'.

Reorder the terms:
9 + -4 + 6a + a2 = 4 + -4

Combine like terms: 9 + -4 = 5
5 + 6a + a2 = 4 + -4

Combine like terms: 4 + -4 = 0
5 + 6a + a2 = 0

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

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

Simplifying
5 + a = 0

Solving
5 + a = 0

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

Add '-5' to each side of the equation.
5 + -5 + a = 0 + -5

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

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

Simplifying
a = -5
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 = {-5, -1}