2h-4h(h-5)=

Solution for 2h-4h(h-5)= equation:

Simplifying
2h + -4h(h + -5) = 0

Reorder the terms:
2h + -4h(-5 + h) = 0
2h + (-5 * -4h + h * -4h) = 0
2h + (20h + -4h2) = 0

Combine like terms: 2h + 20h = 22h
22h + -4h2 = 0

Solving
22h + -4h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(11 + -2h) = 0

Ignore the factor 2.
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 '(11 + -2h)' equal to zero and attempt to solve:

Simplifying
11 + -2h = 0

Solving
11 + -2h = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2h = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2h = 0 + -11
-2h = 0 + -11

Combine like terms: 0 + -11 = -11
-2h = -11

Divide each side by '-2'.
h = 5.5

Simplifying
h = 5.5
Solution
h = {0, 5.5}