28h^2+3h-1=0

Solution for 28h^2+3h-1=0 equation:

Simplifying
28h2 + 3h + -1 = 0

Reorder the terms:
-1 + 3h + 28h2 = 0

Solving
-1 + 3h + 28h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-1 + -4h)(1 + -7h) = 0

Subproblem 1
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
Subproblem 2
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
Solution
h = {-0.25, 0.1428571429}