-16=16h(h-3)

Solution for -16=16h(h-3) equation:

Simplifying
-16 = 16h(h + -3)

Reorder the terms:
-16 = 16h(-3 + h)
-16 = (-3 * 16h + h * 16h)
-16 = (-48h + 16h2)

Solving
-16 = -48h + 16h2

Solving for variable 'h'.

Reorder the terms:
-16 + 48h + -16h2 = -48h + 48h + 16h2 + -16h2

Combine like terms: -48h + 48h = 0
-16 + 48h + -16h2 = 0 + 16h2 + -16h2
-16 + 48h + -16h2 = 16h2 + -16h2

Combine like terms: 16h2 + -16h2 = 0
-16 + 48h + -16h2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-1 + 3h + -1h2) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(-1 + 3h + -1h2)' equal to zero and attempt to solve:

Simplifying
-1 + 3h + -1h2 = 0

Solving
-1 + 3h + -1h2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
1 + -3h + h2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -3h + -1 + h2 = 0 + -1

Reorder the terms:
1 + -1 + -3h + h2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3h + h2 = 0 + -1
-3h + h2 = 0 + -1

Combine like terms: 0 + -1 = -1
-3h + h2 = -1

The h term is -3h.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3h + 2.25 + h2 = -1 + 2.25

Reorder the terms:
2.25 + -3h + h2 = -1 + 2.25

Combine like terms: -1 + 2.25 = 1.25
2.25 + -3h + h2 = 1.25

Factor a perfect square on the left side:
(h + -1.5)(h + -1.5) = 1.25

Calculate the square root of the right side: 1.118033989

Break this problem into two subproblems by setting 
(h + -1.5) equal to 1.118033989 and -1.118033989.

Subproblem 1
h + -1.5 = 1.118033989

Simplifying
h + -1.5 = 1.118033989

Reorder the terms:
-1.5 + h = 1.118033989

Solving
-1.5 + h = 1.118033989

Solving for variable 'h'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + h = 1.118033989 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + h = 1.118033989 + 1.5
h = 1.118033989 + 1.5

Combine like terms: 1.118033989 + 1.5 = 2.618033989
h = 2.618033989

Simplifying
h = 2.618033989

Subproblem 2
h + -1.5 = -1.118033989

Simplifying
h + -1.5 = -1.118033989

Reorder the terms:
-1.5 + h = -1.118033989

Solving
-1.5 + h = -1.118033989

Solving for variable 'h'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + h = -1.118033989 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + h = -1.118033989 + 1.5
h = -1.118033989 + 1.5

Combine like terms: -1.118033989 + 1.5 = 0.381966011
h = 0.381966011

Simplifying
h = 0.381966011

Solution
The solution to the problem is based on the solutions
from the subproblems.
h = {2.618033989, 0.381966011}
Solution
h = {2.618033989, 0.381966011}