h^2+12h+36=0

Solution for h^2+12h+36=0 equation:

Simplifying
h2 + 12h + 36 = 0

Reorder the terms:
36 + 12h + h2 = 0

Solving
36 + 12h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(6 + h)(6 + h) = 0

Subproblem 1
Set the factor '(6 + h)' equal to zero and attempt to solve:

Simplifying
6 + h = 0

Solving
6 + h = 0

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

Add '-6' to each side of the equation.
6 + -6 + h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + h = 0 + -6
h = 0 + -6

Combine like terms: 0 + -6 = -6
h = -6

Simplifying
h = -6
Subproblem 2
Set the factor '(6 + h)' equal to zero and attempt to solve:

Simplifying
6 + h = 0

Solving
6 + h = 0

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

Add '-6' to each side of the equation.
6 + -6 + h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + h = 0 + -6
h = 0 + -6

Combine like terms: 0 + -6 = -6
h = -6

Simplifying
h = -6
Solution
h = {-6, -6}