-8h^2-13h+6=0

Solution for -8h^2-13h+6=0 equation:

Simplifying
-8h2 + -13h + 6 = 0

Reorder the terms:
6 + -13h + -8h2 = 0

Solving
6 + -13h + -8h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(3 + -8h)(2 + h) = 0

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

Simplifying
3 + -8h = 0

Solving
3 + -8h = 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 + -8h = 0 + -3

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

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

Divide each side by '-8'.
h = 0.375

Simplifying
h = 0.375
Subproblem 2
Set the factor '(2 + h)' equal to zero and attempt to solve:

Simplifying
2 + h = 0

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

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

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

Simplifying
h = -2
Solution
h = {0.375, -2}