-6h^2+7h-1=0

Solution for -6h^2+7h-1=0 equation:

Simplifying
-6h2 + 7h + -1 = 0

Reorder the terms:
-1 + 7h + -6h2 = 0

Solving
-1 + 7h + -6h2 = 0

Solving for variable 'h'.

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

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

Simplifying
-1 + h = 0

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

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

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

Simplifying
h = 1
Subproblem 2
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
Solution
h = {1, 0.1666666667}