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

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

Simplifying
(2h + 3)(4 + -1h) = 0

Reorder the terms:
(3 + 2h)(4 + -1h) = 0

Multiply (3 + 2h) * (4 + -1h)
(3(4 + -1h) + 2h * (4 + -1h)) = 0
((4 * 3 + -1h * 3) + 2h * (4 + -1h)) = 0
((12 + -3h) + 2h * (4 + -1h)) = 0
(12 + -3h + (4 * 2h + -1h * 2h)) = 0
(12 + -3h + (8h + -2h2)) = 0

Combine like terms: -3h + 8h = 5h
(12 + 5h + -2h2) = 0

Solving
12 + 5h + -2h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(4 + -1h)(3 + 2h) = 0

Subproblem 1
Set the factor '(4 + -1h)' equal to zero and attempt to solve:

Simplifying
4 + -1h = 0

Solving
4 + -1h = 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 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Subproblem 2
Set the factor '(3 + 2h)' equal to zero and attempt to solve:

Simplifying
3 + 2h = 0

Solving
3 + 2h = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2h = 0 + -3

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

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

Divide each side by '2'.
h = -1.5

Simplifying
h = -1.5
Solution
h = {4, -1.5}