-2=6h-20h^2

Solution for -2=6h-20h^2 equation:

Simplifying
-2 = 6h + -20h2

Solving
-2 = 6h + -20h2

Solving for variable 'h'.

Reorder the terms:
-2 + -6h + 20h2 = 6h + -6h + -20h2 + 20h2

Combine like terms: 6h + -6h = 0
-2 + -6h + 20h2 = 0 + -20h2 + 20h2
-2 + -6h + 20h2 = -20h2 + 20h2

Combine like terms: -20h2 + 20h2 = 0
-2 + -6h + 20h2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -3h + 10h2) = 0

Factor a trinomial.
2((-1 + -5h)(1 + -2h)) = 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 '(1 + -2h)' equal to zero and attempt to solve:

Simplifying
1 + -2h = 0

Solving
1 + -2h = 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 + -2h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2h = 0 + -1
-2h = 0 + -1

Combine like terms: 0 + -1 = -1
-2h = -1

Divide each side by '-2'.
h = 0.5

Simplifying
h = 0.5
Solution
h = {-0.2, 0.5}