h^2+14h+33=0

Solution for h^2+14h+33=0 equation:

Simplifying
h2 + 14h + 33 = 0

Reorder the terms:
33 + 14h + h2 = 0

Solving
33 + 14h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(11 + h)(3 + h) = 0

Subproblem 1
Set the factor '(11 + h)' equal to zero and attempt to solve:

Simplifying
11 + h = 0

Solving
11 + h = 0

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

Add '-11' to each side of the equation.
11 + -11 + h = 0 + -11

Combine like terms: 11 + -11 = 0
0 + h = 0 + -11
h = 0 + -11

Combine like terms: 0 + -11 = -11
h = -11

Simplifying
h = -11
Subproblem 2
Set the factor '(3 + h)' equal to zero and attempt to solve:

Simplifying
3 + h = 0

Solving
3 + h = 0

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

Add '-3' to each side of the equation.
3 + -3 + h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + h = 0 + -3
h = 0 + -3

Combine like terms: 0 + -3 = -3
h = -3

Simplifying
h = -3
Solution
h = {-11, -3}