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

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

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

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

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

Multiply (3 + 3h) * (6 + 4h)
(3(6 + 4h) + 3h * (6 + 4h)) = 0
((6 * 3 + 4h * 3) + 3h * (6 + 4h)) = 0
((18 + 12h) + 3h * (6 + 4h)) = 0
(18 + 12h + (6 * 3h + 4h * 3h)) = 0
(18 + 12h + (18h + 12h2)) = 0

Combine like terms: 12h + 18h = 30h
(18 + 30h + 12h2) = 0

Solving
18 + 30h + 12h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '6'.
6(3 + 5h + 2h2) = 0

Factor a trinomial.
6((3 + 2h)(1 + h)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + h)' equal to zero and attempt to solve:

Simplifying
1 + h = 0

Solving
1 + h = 0

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

Add '-1' to each side of the equation.
1 + -1 + h = 0 + -1

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

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

Simplifying
h = -1
Solution
h = {-1.5, -1}