3.2h-h^2=0.64

Solution for 3.2h-h^2=0.64 equation:

Simplifying
3.2h + -1h2 = 0.64

Solving
3.2h + -1h2 = 0.64

Solving for variable 'h'.

Reorder the terms:
-0.64 + 3.2h + -1h2 = 0.64 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
-0.64 + 3.2h + -1h2 = 0.00

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

Divide each side by '-1'.
0.64 + -3.2h + h2 = 0.00

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + -3.2h + -0.64 + h2 = 0.00 + -0.64

Reorder the terms:
0.64 + -0.64 + -3.2h + h2 = 0.00 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + -3.2h + h2 = 0.00 + -0.64
-3.2h + h2 = 0.00 + -0.64

Combine like terms: 0.00 + -0.64 = -0.64
-3.2h + h2 = -0.64

The h term is -3.2h.  Take half its coefficient (-1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
-3.2h + 2.56 + h2 = -0.64 + 2.56

Reorder the terms:
2.56 + -3.2h + h2 = -0.64 + 2.56

Combine like terms: -0.64 + 2.56 = 1.92
2.56 + -3.2h + h2 = 1.92

Factor a perfect square on the left side:
(h + -1.6)(h + -1.6) = 1.92

Calculate the square root of the right side: 1.385640646

Break this problem into two subproblems by setting 
(h + -1.6) equal to 1.385640646 and -1.385640646.

Subproblem 1
h + -1.6 = 1.385640646

Simplifying
h + -1.6 = 1.385640646

Reorder the terms:
-1.6 + h = 1.385640646

Solving
-1.6 + h = 1.385640646

Solving for variable 'h'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + h = 1.385640646 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + h = 1.385640646 + 1.6
h = 1.385640646 + 1.6

Combine like terms: 1.385640646 + 1.6 = 2.985640646
h = 2.985640646

Simplifying
h = 2.985640646

Subproblem 2
h + -1.6 = -1.385640646

Simplifying
h + -1.6 = -1.385640646

Reorder the terms:
-1.6 + h = -1.385640646

Solving
-1.6 + h = -1.385640646

Solving for variable 'h'.

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

Add '1.6' to each side of the equation.
-1.6 + 1.6 + h = -1.385640646 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + h = -1.385640646 + 1.6
h = -1.385640646 + 1.6

Combine like terms: -1.385640646 + 1.6 = 0.214359354
h = 0.214359354

Simplifying
h = 0.214359354

Solution
The solution to the problem is based on the solutions
from the subproblems.
h = {2.985640646, 0.214359354}