12h^2+13h+3=0

Solution for 12h^2+13h+3=0 equation:

Simplifying
12h2 + 13h + 3 = 0

Reorder the terms:
3 + 13h + 12h2 = 0

Solving
3 + 13h + 12h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(3 + 4h)(1 + 3h) = 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 '(1 + 3h)' equal to zero and attempt to solve:

Simplifying
1 + 3h = 0

Solving
1 + 3h = 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 + 3h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3h = 0 + -1
3h = 0 + -1

Combine like terms: 0 + -1 = -1
3h = -1

Divide each side by '3'.
h = -0.3333333333

Simplifying
h = -0.3333333333
Solution
h = {-0.75, -0.3333333333}