3h^2+10h-8=0

Solution for 3h^2+10h-8=0 equation:

Simplifying
3h2 + 10h + -8 = 0

Reorder the terms:
-8 + 10h + 3h2 = 0

Solving
-8 + 10h + 3h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-4 + -1h)(2 + -3h) = 0

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

Simplifying
-4 + -1h = 0

Solving
-4 + -1h = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1h = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1h = 0 + 4
-1h = 0 + 4

Combine like terms: 0 + 4 = 4
-1h = 4

Divide each side by '-1'.
h = -4

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

Simplifying
2 + -3h = 0

Solving
2 + -3h = 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 + -3h = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3h = 0 + -2
-3h = 0 + -2

Combine like terms: 0 + -2 = -2
-3h = -2

Divide each side by '-3'.
h = 0.6666666667

Simplifying
h = 0.6666666667
Solution
h = {-4, 0.6666666667}