2h(2h-8)=-16

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

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

Reorder the terms:
2h(-8 + 2h) = -16
(-8 * 2h + 2h * 2h) = -16
(-16h + 4h2) = -16

Solving
-16h + 4h2 = -16

Solving for variable 'h'.

Reorder the terms:
16 + -16h + 4h2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + -16h + 4h2 = 0

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

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

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

Simplifying
2 + -1h = 0

Solving
2 + -1h = 0

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

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

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

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

Divide each side by '-1'.
h = 2

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

Simplifying
2 + -1h = 0

Solving
2 + -1h = 0

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

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

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

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

Divide each side by '-1'.
h = 2

Simplifying
h = 2
Solution
h = {2, 2}