208=(48+h)*h

Solution for 208=(48+h)*h equation:

Simplifying
208 = (48 + h) * h

Reorder the terms for easier multiplication:
208 = h(48 + h)
208 = (48 * h + h * h)
208 = (48h + h2)

Solving
208 = 48h + h2

Solving for variable 'h'.

Reorder the terms:
208 + -48h + -1h2 = 48h + -48h + h2 + -1h2

Combine like terms: 48h + -48h = 0
208 + -48h + -1h2 = 0 + h2 + -1h2
208 + -48h + -1h2 = h2 + -1h2

Combine like terms: h2 + -1h2 = 0
208 + -48h + -1h2 = 0

Factor a trinomial.
(4 + -1h)(52 + h) = 0

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

Simplifying
4 + -1h = 0

Solving
4 + -1h = 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 + -1h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1h = 0 + -4
-1h = 0 + -4

Combine like terms: 0 + -4 = -4
-1h = -4

Divide each side by '-1'.
h = 4

Simplifying
h = 4
Subproblem 2
Set the factor '(52 + h)' equal to zero and attempt to solve:

Simplifying
52 + h = 0

Solving
52 + h = 0

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

Add '-52' to each side of the equation.
52 + -52 + h = 0 + -52

Combine like terms: 52 + -52 = 0
0 + h = 0 + -52
h = 0 + -52

Combine like terms: 0 + -52 = -52
h = -52

Simplifying
h = -52
Solution
h = {4, -52}