h^2+12h+20=0

Solution for h^2+12h+20=0 equation:

Simplifying
h2 + 12h + 20 = 0

Reorder the terms:
20 + 12h + h2 = 0

Solving
20 + 12h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(10 + h)(2 + h) = 0

Subproblem 1
Set the factor '(10 + h)' equal to zero and attempt to solve:

Simplifying
10 + h = 0

Solving
10 + h = 0

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

Add '-10' to each side of the equation.
10 + -10 + h = 0 + -10

Combine like terms: 10 + -10 = 0
0 + h = 0 + -10
h = 0 + -10

Combine like terms: 0 + -10 = -10
h = -10

Simplifying
h = -10
Subproblem 2
Set the factor '(2 + h)' equal to zero and attempt to solve:

Simplifying
2 + h = 0

Solving
2 + h = 0

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

Add '-2' to each side of the equation.
2 + -2 + h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + h = 0 + -2
h = 0 + -2

Combine like terms: 0 + -2 = -2
h = -2

Simplifying
h = -2
Solution
h = {-10, -2}