(h+6)(h+4)=0

Solution for (h+6)(h+4)=0 equation:

Simplifying
(h + 6)(h + 4) = 0

Reorder the terms:
(6 + h)(h + 4) = 0

Reorder the terms:
(6 + h)(4 + h) = 0

Multiply (6 + h) * (4 + h)
(6(4 + h) + h(4 + h)) = 0
((4 * 6 + h * 6) + h(4 + h)) = 0
((24 + 6h) + h(4 + h)) = 0
(24 + 6h + (4 * h + h * h)) = 0
(24 + 6h + (4h + h2)) = 0

Combine like terms: 6h + 4h = 10h
(24 + 10h + h2) = 0

Solving
24 + 10h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(6 + h)(4 + 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 '(4 + h)' equal to zero and attempt to solve:

Simplifying
4 + h = 0

Solving
4 + h = 0

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

Add '-4' to each side of the equation.
4 + -4 + h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + h = 0 + -4
h = 0 + -4

Combine like terms: 0 + -4 = -4
h = -4

Simplifying
h = -4
Solution
h = {-6, -4}