-.5*32h^2+48h+0=20

Solution for -.5*32h^2+48h+0=20 equation:

Simplifying
-0.5 * 32h2 + 48h + 0 = 20

Multiply -0.5 * 32
-16h2 + 48h + 0 = 20

Reorder the terms:
0 + 48h + -16h2 = 20
Remove the zero:
48h + -16h2 = 20

Solving
48h + -16h2 = 20

Solving for variable 'h'.

Reorder the terms:
-20 + 48h + -16h2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 48h + -16h2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 12h + -4h2) = 0

Factor a trinomial.
4((-5 + 2h)(1 + -2h)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-5 + 2h)' equal to zero and attempt to solve:

Simplifying
-5 + 2h = 0

Solving
-5 + 2h = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2h = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2h = 0 + 5
2h = 0 + 5

Combine like terms: 0 + 5 = 5
2h = 5

Divide each side by '2'.
h = 2.5

Simplifying
h = 2.5
Subproblem 2
Set the factor '(1 + -2h)' equal to zero and attempt to solve:

Simplifying
1 + -2h = 0

Solving
1 + -2h = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2h = 0 + -1
-2h = 0 + -1

Combine like terms: 0 + -1 = -1
-2h = -1

Divide each side by '-2'.
h = 0.5

Simplifying
h = 0.5
Solution
h = {2.5, 0.5}