h^2+8h-560=0

Solution for h^2+8h-560=0 equation:

Simplifying
h2 + 8h + -560 = 0

Reorder the terms:
-560 + 8h + h2 = 0

Solving
-560 + 8h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-28 + -1h)(20 + -1h) = 0

Subproblem 1
Set the factor '(-28 + -1h)' equal to zero and attempt to solve:

Simplifying
-28 + -1h = 0

Solving
-28 + -1h = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1h = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1h = 0 + 28
-1h = 0 + 28

Combine like terms: 0 + 28 = 28
-1h = 28

Divide each side by '-1'.
h = -28

Simplifying
h = -28
Subproblem 2
Set the factor '(20 + -1h)' equal to zero and attempt to solve:

Simplifying
20 + -1h = 0

Solving
20 + -1h = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1h = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1h = 0 + -20
-1h = 0 + -20

Combine like terms: 0 + -20 = -20
-1h = -20

Divide each side by '-1'.
h = 20

Simplifying
h = 20
Solution
h = {-28, 20}