-h^2+12*h-20=0

Solution for -h^2+12*h-20=0 equation:

Simplifying
-1h2 + 12h + -20 = 0

Reorder the terms:
-20 + 12h + -1h2 = 0

Solving
-20 + 12h + -1h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-10 + h)(2 + -1h) = 0

Subproblem 1
Set the factor '(-10 + h)' equal to zero and attempt to solve:

Simplifying
-10 + h = 0

Solving
-10 + h = 0

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

Add '10' to each side of the equation.
-10 + 10 + h = 0 + 10

Combine like terms: -10 + 10 = 0
0 + h = 0 + 10
h = 0 + 10

Combine like terms: 0 + 10 = 10
h = 10

Simplifying
h = 10
Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve:

Simplifying
2 + -1h = 0

Solving
2 + -1h = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1h = 0 + -2

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

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

Divide each side by '-1'.
h = 2

Simplifying
h = 2
Solution
h = {10, 2}