(h+5)(h+20)=

Solution for (h+5)(h+20)= equation:

Simplifying
(h + 5)(h + 20) = 0

Reorder the terms:
(5 + h)(h + 20) = 0

Reorder the terms:
(5 + h)(20 + h) = 0

Multiply (5 + h) * (20 + h)
(5(20 + h) + h(20 + h)) = 0
((20 * 5 + h * 5) + h(20 + h)) = 0
((100 + 5h) + h(20 + h)) = 0
(100 + 5h + (20 * h + h * h)) = 0
(100 + 5h + (20h + h2)) = 0

Combine like terms: 5h + 20h = 25h
(100 + 25h + h2) = 0

Solving
100 + 25h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(20 + h)(5 + h) = 0

Subproblem 1
Set the factor '(20 + h)' equal to zero and attempt to solve:

Simplifying
20 + h = 0

Solving
20 + h = 0

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

Add '-20' to each side of the equation.
20 + -20 + h = 0 + -20

Combine like terms: 20 + -20 = 0
0 + h = 0 + -20
h = 0 + -20

Combine like terms: 0 + -20 = -20
h = -20

Simplifying
h = -20
Subproblem 2
Set the factor '(5 + h)' equal to zero and attempt to solve:

Simplifying
5 + h = 0

Solving
5 + h = 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 + h = 0 + -5

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

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

Simplifying
h = -5
Solution
h = {-20, -5}