(h+6)(h+5)=0

Solution for (h+6)(h+5)=0 equation:

Simplifying
(h + 6)(h + 5) = 0

Reorder the terms:
(6 + h)(h + 5) = 0

Reorder the terms:
(6 + h)(5 + h) = 0

Multiply (6 + h) * (5 + h)
(6(5 + h) + h(5 + h)) = 0
((5 * 6 + h * 6) + h(5 + h)) = 0
((30 + 6h) + h(5 + h)) = 0
(30 + 6h + (5 * h + h * h)) = 0
(30 + 6h + (5h + h2)) = 0

Combine like terms: 6h + 5h = 11h
(30 + 11h + h2) = 0

Solving
30 + 11h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(6 + h)(5 + 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 '(5 + h)' equal to zero and attempt to solve:

Simplifying
5 + h = 0

Solving
5 + h = 0

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

Add '-5' to each side of the equation.
5 + -5 + h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + h = 0 + -5
h = 0 + -5

Combine like terms: 0 + -5 = -5
h = -5

Simplifying
h = -5
Solution
h = {-6, -5}