(h-1)(h+9)=0

Solution for (h-1)(h+9)=0 equation:

Simplifying
(h + -1)(h + 9) = 0

Reorder the terms:
(-1 + h)(h + 9) = 0

Reorder the terms:
(-1 + h)(9 + h) = 0

Multiply (-1 + h) * (9 + h)
(-1(9 + h) + h(9 + h)) = 0
((9 * -1 + h * -1) + h(9 + h)) = 0
((-9 + -1h) + h(9 + h)) = 0
(-9 + -1h + (9 * h + h * h)) = 0
(-9 + -1h + (9h + h2)) = 0

Combine like terms: -1h + 9h = 8h
(-9 + 8h + h2) = 0

Solving
-9 + 8h + h2 = 0

Solving for variable 'h'.

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

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

Simplifying
1 + -1h = 0

Solving
1 + -1h = 0

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

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

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

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

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

Simplifying
h = 1
Solution
h = {-9, 1}