(x+6)(x+20)=0

Solution for (x+6)(x+20)=0 equation:

Simplifying
(x + 6)(x + 20) = 0

Reorder the terms:
(6 + x)(x + 20) = 0

Reorder the terms:
(6 + x)(20 + x) = 0

Multiply (6 + x) * (20 + x)
(6(20 + x) + x(20 + x)) = 0
((20 * 6 + x * 6) + x(20 + x)) = 0
((120 + 6x) + x(20 + x)) = 0
(120 + 6x + (20 * x + x * x)) = 0
(120 + 6x + (20x + x2)) = 0

Combine like terms: 6x + 20x = 26x
(120 + 26x + x2) = 0

Solving
120 + 26x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + x)(6 + x) = 0

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

Simplifying
20 + x = 0

Solving
20 + x = 0

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

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

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

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

Simplifying
x = -20
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-20, -6}