3600=3h^2+16h+16

Solution for 3600=3h^2+16h+16 equation:

Simplifying
3600 = 3h2 + 16h + 16

Reorder the terms:
3600 = 16 + 16h + 3h2

Solving
3600 = 16 + 16h + 3h2

Solving for variable 'h'.

Combine like terms: 3600 + -16 = 3584
3584 + -16h + -3h2 = 16 + 16h + 3h2 + -16 + -16h + -3h2

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

Combine like terms: 16 + -16 = 0
3584 + -16h + -3h2 = 0 + 16h + -16h + 3h2 + -3h2
3584 + -16h + -3h2 = 16h + -16h + 3h2 + -3h2

Combine like terms: 16h + -16h = 0
3584 + -16h + -3h2 = 0 + 3h2 + -3h2
3584 + -16h + -3h2 = 3h2 + -3h2

Combine like terms: 3h2 + -3h2 = 0
3584 + -16h + -3h2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
h = {32, -37.33333333}