(h-1)(h+5)=0

Solution for (h-1)(h+5)=0 equation:

Simplifying
(h + -1)(h + 5) = 0

Reorder the terms:
(-1 + h)(h + 5) = 0

Reorder the terms:
(-1 + h)(5 + h) = 0

Multiply (-1 + h) * (5 + h)
(-1(5 + h) + h(5 + h)) = 0
((5 * -1 + h * -1) + h(5 + h)) = 0
((-5 + -1h) + h(5 + h)) = 0
(-5 + -1h + (5 * h + h * h)) = 0
(-5 + -1h + (5h + h2)) = 0

Combine like terms: -1h + 5h = 4h
(-5 + 4h + h2) = 0

Solving
-5 + 4h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -1h)(1 + -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 '(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 = {-5, 1}