h^2+8h-48=0

Solution for h^2+8h-48=0 equation:

Simplifying
h2 + 8h + -48 = 0

Reorder the terms:
-48 + 8h + h2 = 0

Solving
-48 + 8h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-12 + -1h)(4 + -1h) = 0

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

Simplifying
-12 + -1h = 0

Solving
-12 + -1h = 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 + -1h = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1h = 0 + 12
-1h = 0 + 12

Combine like terms: 0 + 12 = 12
-1h = 12

Divide each side by '-1'.
h = -12

Simplifying
h = -12
Subproblem 2
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
Solution
h = {-12, 4}