(h-8)(h-9)=

Solution for (h-8)(h-9)= equation:

Simplifying
(h + -8)(h + -9) = 0

Reorder the terms:
(-8 + h)(h + -9) = 0

Reorder the terms:
(-8 + h)(-9 + h) = 0

Multiply (-8 + h) * (-9 + h)
(-8(-9 + h) + h(-9 + h)) = 0
((-9 * -8 + h * -8) + h(-9 + h)) = 0
((72 + -8h) + h(-9 + h)) = 0
(72 + -8h + (-9 * h + h * h)) = 0
(72 + -8h + (-9h + h2)) = 0

Combine like terms: -8h + -9h = -17h
(72 + -17h + h2) = 0

Solving
72 + -17h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(8 + -1h)(9 + -1h) = 0

Subproblem 1
Set the factor '(8 + -1h)' equal to zero and attempt to solve:

Simplifying
8 + -1h = 0

Solving
8 + -1h = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1h = 0 + -8
-1h = 0 + -8

Combine like terms: 0 + -8 = -8
-1h = -8

Divide each side by '-1'.
h = 8

Simplifying
h = 8
Subproblem 2
Set the factor '(9 + -1h)' equal to zero and attempt to solve:

Simplifying
9 + -1h = 0

Solving
9 + -1h = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1h = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1h = 0 + -9
-1h = 0 + -9

Combine like terms: 0 + -9 = -9
-1h = -9

Divide each side by '-1'.
h = 9

Simplifying
h = 9
Solution
h = {8, 9}