24h^2-10h+1=0

Solution for 24h^2-10h+1=0 equation:

Simplifying
24h2 + -10h + 1 = 0

Reorder the terms:
1 + -10h + 24h2 = 0

Solving
1 + -10h + 24h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(1 + -6h)(1 + -4h) = 0

Subproblem 1
Set the factor '(1 + -6h)' equal to zero and attempt to solve:

Simplifying
1 + -6h = 0

Solving
1 + -6h = 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 + -6h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6h = 0 + -1
-6h = 0 + -1

Combine like terms: 0 + -1 = -1
-6h = -1

Divide each side by '-6'.
h = 0.1666666667

Simplifying
h = 0.1666666667
Subproblem 2
Set the factor '(1 + -4h)' equal to zero and attempt to solve:

Simplifying
1 + -4h = 0

Solving
1 + -4h = 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 + -4h = 0 + -1

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

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

Divide each side by '-4'.
h = 0.25

Simplifying
h = 0.25
Solution
h = {0.1666666667, 0.25}