80h^2-80h+15=0

Solution for 80h^2-80h+15=0 equation:

Simplifying
80h2 + -80h + 15 = 0

Reorder the terms:
15 + -80h + 80h2 = 0

Solving
15 + -80h + 80h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -16h + 16h2) = 0

Factor a trinomial.
5((1 + -4h)(3 + -4h)) = 0

Ignore the factor 5.
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 '(3 + -4h)' equal to zero and attempt to solve:

Simplifying
3 + -4h = 0

Solving
3 + -4h = 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 + -4h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4h = 0 + -3
-4h = 0 + -3

Combine like terms: 0 + -3 = -3
-4h = -3

Divide each side by '-4'.
h = 0.75

Simplifying
h = 0.75
Solution
h = {0.25, 0.75}