0=-h^2-4h+32

Solution for 0=-h^2-4h+32 equation:

Simplifying
0 = -1h2 + -4h + 32

Reorder the terms:
0 = 32 + -4h + -1h2

Solving
0 = 32 + -4h + -1h2

Solving for variable 'h'.

Combine like terms: 0 + -32 = -32
-32 + 4h + h2 = 32 + -4h + -1h2 + -32 + 4h + h2

Reorder the terms:
-32 + 4h + h2 = 32 + -32 + -4h + 4h + -1h2 + h2

Combine like terms: 32 + -32 = 0
-32 + 4h + h2 = 0 + -4h + 4h + -1h2 + h2
-32 + 4h + h2 = -4h + 4h + -1h2 + h2

Combine like terms: -4h + 4h = 0
-32 + 4h + h2 = 0 + -1h2 + h2
-32 + 4h + h2 = -1h2 + h2

Combine like terms: -1h2 + h2 = 0
-32 + 4h + h2 = 0

Factor a trinomial.
(-8 + -1h)(4 + -1h) = 0

Subproblem 1
Set the factor '(-8 + -1h)' equal to zero and attempt to solve:

Simplifying
-8 + -1h = 0

Solving
-8 + -1h = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1h = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1h = 0 + 8
-1h = 0 + 8

Combine like terms: 0 + 8 = 8
-1h = 8

Divide each side by '-1'.
h = -8

Simplifying
h = -8
Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve:

Simplifying
4 + -1h = 0

Solving
4 + -1h = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Solution
h = {-8, 4}