(h-3)(h-6)=0

Solution for (h-3)(h-6)=0 equation:

Simplifying
(h + -3)(h + -6) = 0

Reorder the terms:
(-3 + h)(h + -6) = 0

Reorder the terms:
(-3 + h)(-6 + h) = 0

Multiply (-3 + h) * (-6 + h)
(-3(-6 + h) + h(-6 + h)) = 0
((-6 * -3 + h * -3) + h(-6 + h)) = 0
((18 + -3h) + h(-6 + h)) = 0
(18 + -3h + (-6 * h + h * h)) = 0
(18 + -3h + (-6h + h2)) = 0

Combine like terms: -3h + -6h = -9h
(18 + -9h + h2) = 0

Solving
18 + -9h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(3 + -1h)(6 + -1h) = 0

Subproblem 1
Set the factor '(3 + -1h)' equal to zero and attempt to solve:

Simplifying
3 + -1h = 0

Solving
3 + -1h = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1h = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1h = 0 + -3
-1h = 0 + -3

Combine like terms: 0 + -3 = -3
-1h = -3

Divide each side by '-1'.
h = 3

Simplifying
h = 3
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 = {3, 6}