14h^2-17h+3=0

Solution for 14h^2-17h+3=0 equation:

Simplifying
14h2 + -17h + 3 = 0

Reorder the terms:
3 + -17h + 14h2 = 0

Solving
3 + -17h + 14h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(3 + -14h)(1 + -1h) = 0

Subproblem 1
Set the factor '(3 + -14h)' equal to zero and attempt to solve:

Simplifying
3 + -14h = 0

Solving
3 + -14h = 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 + -14h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -14h = 0 + -3
-14h = 0 + -3

Combine like terms: 0 + -3 = -3
-14h = -3

Divide each side by '-14'.
h = 0.2142857143

Simplifying
h = 0.2142857143
Subproblem 2
Set the factor '(1 + -1h)' equal to zero and attempt to solve:

Simplifying
1 + -1h = 0

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

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

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

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

Simplifying
h = 1
Solution
h = {0.2142857143, 1}