(9h+2)(2h+1)=0

Solution for (9h+2)(2h+1)=0 equation:

Simplifying
(9h + 2)(2h + 1) = 0

Reorder the terms:
(2 + 9h)(2h + 1) = 0

Reorder the terms:
(2 + 9h)(1 + 2h) = 0

Multiply (2 + 9h) * (1 + 2h)
(2(1 + 2h) + 9h * (1 + 2h)) = 0
((1 * 2 + 2h * 2) + 9h * (1 + 2h)) = 0
((2 + 4h) + 9h * (1 + 2h)) = 0
(2 + 4h + (1 * 9h + 2h * 9h)) = 0
(2 + 4h + (9h + 18h2)) = 0

Combine like terms: 4h + 9h = 13h
(2 + 13h + 18h2) = 0

Solving
2 + 13h + 18h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(1 + 2h)(2 + 9h) = 0

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

Simplifying
1 + 2h = 0

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

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

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

Divide each side by '2'.
h = -0.5

Simplifying
h = -0.5
Subproblem 2
Set the factor '(2 + 9h)' equal to zero and attempt to solve:

Simplifying
2 + 9h = 0

Solving
2 + 9h = 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 + 9h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9h = 0 + -2
9h = 0 + -2

Combine like terms: 0 + -2 = -2
9h = -2

Divide each side by '9'.
h = -0.2222222222

Simplifying
h = -0.2222222222
Solution
h = {-0.5, -0.2222222222}