(3h+2)(4+h)=

Solution for (3h+2)(4+h)= equation:

Simplifying
(3h + 2)(4 + h) = 0

Reorder the terms:
(2 + 3h)(4 + h) = 0

Multiply (2 + 3h) * (4 + h)
(2(4 + h) + 3h * (4 + h)) = 0
((4 * 2 + h * 2) + 3h * (4 + h)) = 0
((8 + 2h) + 3h * (4 + h)) = 0
(8 + 2h + (4 * 3h + h * 3h)) = 0
(8 + 2h + (12h + 3h2)) = 0

Combine like terms: 2h + 12h = 14h
(8 + 14h + 3h2) = 0

Solving
8 + 14h + 3h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(4 + h)(2 + 3h) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + 3h)' equal to zero and attempt to solve:

Simplifying
2 + 3h = 0

Solving
2 + 3h = 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 + 3h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3h = 0 + -2
3h = 0 + -2

Combine like terms: 0 + -2 = -2
3h = -2

Divide each side by '3'.
h = -0.6666666667

Simplifying
h = -0.6666666667
Solution
h = {-4, -0.6666666667}