a^2+8a+9=2

Solution for a^2+8a+9=2 equation:

Simplifying
a2 + 8a + 9 = 2

Reorder the terms:
9 + 8a + a2 = 2

Solving
9 + 8a + a2 = 2

Solving for variable 'a'.

Reorder the terms:
9 + -2 + 8a + a2 = 2 + -2

Combine like terms: 9 + -2 = 7
7 + 8a + a2 = 2 + -2

Combine like terms: 2 + -2 = 0
7 + 8a + a2 = 0

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

Subproblem 1
Set the factor '(7 + a)' equal to zero and attempt to solve:

Simplifying
7 + a = 0

Solving
7 + a = 0

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

Add '-7' to each side of the equation.
7 + -7 + a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + a = 0 + -7
a = 0 + -7

Combine like terms: 0 + -7 = -7
a = -7

Simplifying
a = -7
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 = {-7, -1}