16h^2+24h+9=

Solution for 16h^2+24h+9= equation:

Simplifying
16h2 + 24h + 9 = 0

Reorder the terms:
9 + 24h + 16h2 = 0

Solving
9 + 24h + 16h2 = 0

Solving for variable 'h'.

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

Subproblem 1
Set the factor '(3 + 4h)' equal to zero and attempt to solve:

Simplifying
3 + 4h = 0

Solving
3 + 4h = 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 + 4h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4h = 0 + -3
4h = 0 + -3

Combine like terms: 0 + -3 = -3
4h = -3

Divide each side by '4'.
h = -0.75

Simplifying
h = -0.75
Subproblem 2
Set the factor '(3 + 4h)' equal to zero and attempt to solve:

Simplifying
3 + 4h = 0

Solving
3 + 4h = 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 + 4h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4h = 0 + -3
4h = 0 + -3

Combine like terms: 0 + -3 = -3
4h = -3

Divide each side by '4'.
h = -0.75

Simplifying
h = -0.75
Solution
h = {-0.75, -0.75}