3h^2+11h+8=0

Solution for 3h^2+11h+8=0 equation:

Simplifying
3h2 + 11h + 8 = 0

Reorder the terms:
8 + 11h + 3h2 = 0

Solving
8 + 11h + 3h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(8 + 3h)(1 + h) = 0

Subproblem 1
Set the factor '(8 + 3h)' equal to zero and attempt to solve:

Simplifying
8 + 3h = 0

Solving
8 + 3h = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3h = 0 + -8
3h = 0 + -8

Combine like terms: 0 + -8 = -8
3h = -8

Divide each side by '3'.
h = -2.666666667

Simplifying
h = -2.666666667
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 = {-2.666666667, -1}