h^2-6h-40=0

Solution for h^2-6h-40=0 equation:

Simplifying
h2 + -6h + -40 = 0

Reorder the terms:
-40 + -6h + h2 = 0

Solving
-40 + -6h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-4 + -1h)(10 + -1h) = 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 '(10 + -1h)' equal to zero and attempt to solve:

Simplifying
10 + -1h = 0

Solving
10 + -1h = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1h = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1h = 0 + -10
-1h = 0 + -10

Combine like terms: 0 + -10 = -10
-1h = -10

Divide each side by '-1'.
h = 10

Simplifying
h = 10
Solution
h = {-4, 10}