(5h-3)(4h+8)=0

Solution for (5h-3)(4h+8)=0 equation:

Simplifying
(5h + -3)(4h + 8) = 0

Reorder the terms:
(-3 + 5h)(4h + 8) = 0

Reorder the terms:
(-3 + 5h)(8 + 4h) = 0

Multiply (-3 + 5h) * (8 + 4h)
(-3(8 + 4h) + 5h * (8 + 4h)) = 0
((8 * -3 + 4h * -3) + 5h * (8 + 4h)) = 0
((-24 + -12h) + 5h * (8 + 4h)) = 0
(-24 + -12h + (8 * 5h + 4h * 5h)) = 0
(-24 + -12h + (40h + 20h2)) = 0

Combine like terms: -12h + 40h = 28h
(-24 + 28h + 20h2) = 0

Solving
-24 + 28h + 20h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 7h + 5h2) = 0

Factor a trinomial.
4((-2 + -1h)(3 + -5h)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-2 + -1h)' equal to zero and attempt to solve:

Simplifying
-2 + -1h = 0

Solving
-2 + -1h = 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 + -1h = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1h = 0 + 2
-1h = 0 + 2

Combine like terms: 0 + 2 = 2
-1h = 2

Divide each side by '-1'.
h = -2

Simplifying
h = -2
Subproblem 2
Set the factor '(3 + -5h)' equal to zero and attempt to solve:

Simplifying
3 + -5h = 0

Solving
3 + -5h = 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 + -5h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5h = 0 + -3
-5h = 0 + -3

Combine like terms: 0 + -3 = -3
-5h = -3

Divide each side by '-5'.
h = 0.6

Simplifying
h = 0.6
Solution
h = {-2, 0.6}