h^2+48+16h=0

Solution for h^2+48+16h=0 equation:

Simplifying
h2 + 48 + 16h = 0

Reorder the terms:
48 + 16h + h2 = 0

Solving
48 + 16h + h2 = 0

Solving for variable 'h'.

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

Subproblem 1
Set the factor '(12 + h)' equal to zero and attempt to solve:

Simplifying
12 + h = 0

Solving
12 + h = 0

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

Add '-12' to each side of the equation.
12 + -12 + h = 0 + -12

Combine like terms: 12 + -12 = 0
0 + h = 0 + -12
h = 0 + -12

Combine like terms: 0 + -12 = -12
h = -12

Simplifying
h = -12
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 = {-12, -4}