7h^2-8h+1=0

Solution for 7h^2-8h+1=0 equation:

Simplifying
7h2 + -8h + 1 = 0

Reorder the terms:
1 + -8h + 7h2 = 0

Solving
1 + -8h + 7h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(1 + -7h)(1 + -1h) = 0

Subproblem 1
Set the factor '(1 + -7h)' equal to zero and attempt to solve:

Simplifying
1 + -7h = 0

Solving
1 + -7h = 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 + -7h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7h = 0 + -1
-7h = 0 + -1

Combine like terms: 0 + -1 = -1
-7h = -1

Divide each side by '-7'.
h = 0.1428571429

Simplifying
h = 0.1428571429
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 = {0.1428571429, 1}