10h^2-62h+12=0

Solution for 10h^2-62h+12=0 equation:

Simplifying
10h2 + -62h + 12 = 0

Reorder the terms:
12 + -62h + 10h2 = 0

Solving
12 + -62h + 10h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -31h + 5h2) = 0

Factor a trinomial.
2((1 + -5h)(6 + -1h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -5h)' equal to zero and attempt to solve:

Simplifying
1 + -5h = 0

Solving
1 + -5h = 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 + -5h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5h = 0 + -1
-5h = 0 + -1

Combine like terms: 0 + -1 = -1
-5h = -1

Divide each side by '-5'.
h = 0.2

Simplifying
h = 0.2
Subproblem 2
Set the factor '(6 + -1h)' equal to zero and attempt to solve:

Simplifying
6 + -1h = 0

Solving
6 + -1h = 0

Move all terms containing h to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1h = 0 + -6

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

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

Divide each side by '-1'.
h = 6

Simplifying
h = 6
Solution
h = {0.2, 6}