(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 = -14x
(-120 + -14x + x2) = 0

Solving
-120 + -14x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 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 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

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