h^2+14h+13=0

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

Simplifying
h2 + 14h + 13 = 0

Reorder the terms:
13 + 14h + h2 = 0

Solving
13 + 14h + h2 = 0

Solving for variable 'h'.

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

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

Simplifying
13 + h = 0

Solving
13 + h = 0

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

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

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

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

Simplifying
h = -13
Subproblem 2
Set the factor '(1 + h)' equal to zero and attempt to solve:

Simplifying
1 + h = 0

Solving
1 + h = 0

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

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

Combine like terms: 1 + -1 = 0
0 + h = 0 + -1
h = 0 + -1

Combine like terms: 0 + -1 = -1
h = -1

Simplifying
h = -1
Solution
h = {-13, -1}