6h^2-11h+4=0

Solution for 6h^2-11h+4=0 equation:

Simplifying
6h2 + -11h + 4 = 0

Reorder the terms:
4 + -11h + 6h2 = 0

Solving
4 + -11h + 6h2 = 0

Solving for variable 'h'.

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

Subproblem 1
Set the factor '(1 + -2h)' equal to zero and attempt to solve:

Simplifying
1 + -2h = 0

Solving
1 + -2h = 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 + -2h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2h = 0 + -1
-2h = 0 + -1

Combine like terms: 0 + -1 = -1
-2h = -1

Divide each side by '-2'.
h = 0.5

Simplifying
h = 0.5
Subproblem 2
Set the factor '(4 + -3h)' equal to zero and attempt to solve:

Simplifying
4 + -3h = 0

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

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

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

Divide each side by '-3'.
h = 1.333333333

Simplifying
h = 1.333333333
Solution
h = {0.5, 1.333333333}