3h^2+16h-3584=0

Solution for 3h^2+16h-3584=0 equation:

Simplifying
3h2 + 16h + -3584 = 0

Reorder the terms:
-3584 + 16h + 3h2 = 0

Solving
-3584 + 16h + 3h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-112 + -3h)(32 + -1h) = 0

Subproblem 1
Set the factor '(-112 + -3h)' equal to zero and attempt to solve:

Simplifying
-112 + -3h = 0

Solving
-112 + -3h = 0

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

Add '112' to each side of the equation.
-112 + 112 + -3h = 0 + 112

Combine like terms: -112 + 112 = 0
0 + -3h = 0 + 112
-3h = 0 + 112

Combine like terms: 0 + 112 = 112
-3h = 112

Divide each side by '-3'.
h = -37.33333333

Simplifying
h = -37.33333333
Subproblem 2
Set the factor '(32 + -1h)' equal to zero and attempt to solve:

Simplifying
32 + -1h = 0

Solving
32 + -1h = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1h = 0 + -32

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

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

Divide each side by '-1'.
h = 32

Simplifying
h = 32
Solution
h = {-37.33333333, 32}