(5h+4)(3h+6)=0

Solution for (5h+4)(3h+6)=0 equation:

Simplifying
(5h + 4)(3h + 6) = 0

Reorder the terms:
(4 + 5h)(3h + 6) = 0

Reorder the terms:
(4 + 5h)(6 + 3h) = 0

Multiply (4 + 5h) * (6 + 3h)
(4(6 + 3h) + 5h * (6 + 3h)) = 0
((6 * 4 + 3h * 4) + 5h * (6 + 3h)) = 0
((24 + 12h) + 5h * (6 + 3h)) = 0
(24 + 12h + (6 * 5h + 3h * 5h)) = 0
(24 + 12h + (30h + 15h2)) = 0

Combine like terms: 12h + 30h = 42h
(24 + 42h + 15h2) = 0

Solving
24 + 42h + 15h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + 14h + 5h2) = 0

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

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

Simplifying
2 + h = 0

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

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

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

Simplifying
h = -2
Subproblem 2
Set the factor '(4 + 5h)' equal to zero and attempt to solve:

Simplifying
4 + 5h = 0

Solving
4 + 5h = 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 + 5h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5h = 0 + -4
5h = 0 + -4

Combine like terms: 0 + -4 = -4
5h = -4

Divide each side by '5'.
h = -0.8

Simplifying
h = -0.8
Solution
h = {-2, -0.8}