30h^2-185h+30=0

Solution for 30h^2-185h+30=0 equation:

Simplifying
30h2 + -185h + 30 = 0

Reorder the terms:
30 + -185h + 30h2 = 0

Solving
30 + -185h + 30h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + -37h + 6h2) = 0

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

Ignore the factor 5.
Subproblem 1
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
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 = {0.1666666667, 6}