(h-5)(h-6)=

Solution for (h-5)(h-6)= equation:

Simplifying
(h + -5)(h + -6) = 0

Reorder the terms:
(-5 + h)(h + -6) = 0

Reorder the terms:
(-5 + h)(-6 + h) = 0

Multiply (-5 + h) * (-6 + h)
(-5(-6 + h) + h(-6 + h)) = 0
((-6 * -5 + h * -5) + h(-6 + h)) = 0
((30 + -5h) + h(-6 + h)) = 0
(30 + -5h + (-6 * h + h * h)) = 0
(30 + -5h + (-6h + h2)) = 0

Combine like terms: -5h + -6h = -11h
(30 + -11h + h2) = 0

Solving
30 + -11h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(5 + -1h)(6 + -1h) = 0

Subproblem 1
Set the factor '(5 + -1h)' equal to zero and attempt to solve:

Simplifying
5 + -1h = 0

Solving
5 + -1h = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1h = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1h = 0 + -5
-1h = 0 + -5

Combine like terms: 0 + -5 = -5
-1h = -5

Divide each side by '-1'.
h = 5

Simplifying
h = 5
Subproblem 2
Set the factor '(6 + -1h)' equal to zero and attempt to solve:

Simplifying
6 + -1h = 0

Solving
6 + -1h = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1h = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1h = 0 + -6
-1h = 0 + -6

Combine like terms: 0 + -6 = -6
-1h = -6

Divide each side by '-1'.
h = 6

Simplifying
h = 6
Solution
h = {5, 6}