a^2+6a+9=196

Solution for a^2+6a+9=196 equation:

Simplifying
a2 + 6a + 9 = 196

Reorder the terms:
9 + 6a + a2 = 196

Solving
9 + 6a + a2 = 196

Solving for variable 'a'.

Reorder the terms:
9 + -196 + 6a + a2 = 196 + -196

Combine like terms: 9 + -196 = -187
-187 + 6a + a2 = 196 + -196

Combine like terms: 196 + -196 = 0
-187 + 6a + a2 = 0

Factor a trinomial.
(-17 + -1a)(11 + -1a) = 0

Subproblem 1
Set the factor '(-17 + -1a)' equal to zero and attempt to solve:

Simplifying
-17 + -1a = 0

Solving
-17 + -1a = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1a = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1a = 0 + 17
-1a = 0 + 17

Combine like terms: 0 + 17 = 17
-1a = 17

Divide each side by '-1'.
a = -17

Simplifying
a = -17
Subproblem 2
Set the factor '(11 + -1a)' equal to zero and attempt to solve:

Simplifying
11 + -1a = 0

Solving
11 + -1a = 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 + -1a = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1a = 0 + -11
-1a = 0 + -11

Combine like terms: 0 + -11 = -11
-1a = -11

Divide each side by '-1'.
a = 11

Simplifying
a = 11
Solution
a = {-17, 11}