16h=8h(2h-10)

Solution for 16h=8h(2h-10) equation:

Simplifying
16h = 8h(2h + -10)

Reorder the terms:
16h = 8h(-10 + 2h)
16h = (-10 * 8h + 2h * 8h)
16h = (-80h + 16h2)

Solving
16h = -80h + 16h2

Solving for variable 'h'.

Combine like terms: 16h + 80h = 96h
96h + -16h2 = -80h + 16h2 + 80h + -16h2

Reorder the terms:
96h + -16h2 = -80h + 80h + 16h2 + -16h2

Combine like terms: -80h + 80h = 0
96h + -16h2 = 0 + 16h2 + -16h2
96h + -16h2 = 16h2 + -16h2

Combine like terms: 16h2 + -16h2 = 0
96h + -16h2 = 0

Factor out the Greatest Common Factor (GCF), '16h'.
16h(6 + -1h) = 0

Ignore the factor 16.
Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0
Subproblem 2
Set the factor '(6 + -1h)' equal to zero and attempt to solve:

Simplifying
6 + -1h = 0

Solving
6 + -1h = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1h = 0 + -6
-1h = 0 + -6

Combine like terms: 0 + -6 = -6
-1h = -6

Divide each side by '-1'.
h = 6

Simplifying
h = 6
Solution
h = {0, 6}