(2h+8)(2h+8)=

Solution for (2h+8)(2h+8)= equation:

Simplifying
(2h + 8)(2h + 8) = 0

Reorder the terms:
(8 + 2h)(2h + 8) = 0

Reorder the terms:
(8 + 2h)(8 + 2h) = 0

Multiply (8 + 2h) * (8 + 2h)
(8(8 + 2h) + 2h * (8 + 2h)) = 0
((8 * 8 + 2h * 8) + 2h * (8 + 2h)) = 0
((64 + 16h) + 2h * (8 + 2h)) = 0
(64 + 16h + (8 * 2h + 2h * 2h)) = 0
(64 + 16h + (16h + 4h2)) = 0

Combine like terms: 16h + 16h = 32h
(64 + 32h + 4h2) = 0

Solving
64 + 32h + 4h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + 8h + h2) = 0

Factor a trinomial.
4((4 + h)(4 + h)) = 0

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

Simplifying
4 + h = 0

Solving
4 + h = 0

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

Add '-4' to each side of the equation.
4 + -4 + h = 0 + -4

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

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

Simplifying
h = -4
Subproblem 2
Set the factor '(4 + h)' equal to zero and attempt to solve:

Simplifying
4 + h = 0

Solving
4 + h = 0

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

Add '-4' to each side of the equation.
4 + -4 + h = 0 + -4

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

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

Simplifying
h = -4
Solution
h = {-4, -4}