a^2+14a+13=0

Solution for a^2+14a+13=0 equation:

Simplifying
a2 + 14a + 13 = 0

Reorder the terms:
13 + 14a + a2 = 0

Solving
13 + 14a + a2 = 0

Solving for variable 'a'.

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

Subproblem 1
Set the factor '(13 + a)' equal to zero and attempt to solve:

Simplifying
13 + a = 0

Solving
13 + a = 0

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

Add '-13' to each side of the equation.
13 + -13 + a = 0 + -13

Combine like terms: 13 + -13 = 0
0 + a = 0 + -13
a = 0 + -13

Combine like terms: 0 + -13 = -13
a = -13

Simplifying
a = -13
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 = {-13, -1}