(h+4)(2h-5)=0

Solution for (h+4)(2h-5)=0 equation:

Simplifying
(h + 4)(2h + -5) = 0

Reorder the terms:
(4 + h)(2h + -5) = 0

Reorder the terms:
(4 + h)(-5 + 2h) = 0

Multiply (4 + h) * (-5 + 2h)
(4(-5 + 2h) + h(-5 + 2h)) = 0
((-5 * 4 + 2h * 4) + h(-5 + 2h)) = 0
((-20 + 8h) + h(-5 + 2h)) = 0
(-20 + 8h + (-5 * h + 2h * h)) = 0
(-20 + 8h + (-5h + 2h2)) = 0

Combine like terms: 8h + -5h = 3h
(-20 + 3h + 2h2) = 0

Solving
-20 + 3h + 2h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-4 + -1h)(5 + -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 '(5 + -2h)' equal to zero and attempt to solve:

Simplifying
5 + -2h = 0

Solving
5 + -2h = 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 + -2h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2h = 0 + -5
-2h = 0 + -5

Combine like terms: 0 + -5 = -5
-2h = -5

Divide each side by '-2'.
h = 2.5

Simplifying
h = 2.5
Solution
h = {-4, 2.5}