(x+2)(x+6)=480

Solution for (x+2)(x+6)=480 equation:

Simplifying
(x + 2)(x + 6) = 480

Reorder the terms:
(2 + x)(x + 6) = 480

Reorder the terms:
(2 + x)(6 + x) = 480

Multiply (2 + x) * (6 + x)
(2(6 + x) + x(6 + x)) = 480
((6 * 2 + x * 2) + x(6 + x)) = 480
((12 + 2x) + x(6 + x)) = 480
(12 + 2x + (6 * x + x * x)) = 480
(12 + 2x + (6x + x2)) = 480

Combine like terms: 2x + 6x = 8x
(12 + 8x + x2) = 480

Solving
12 + 8x + x2 = 480

Solving for variable 'x'.

Reorder the terms:
12 + -480 + 8x + x2 = 480 + -480

Combine like terms: 12 + -480 = -468
-468 + 8x + x2 = 480 + -480

Combine like terms: 480 + -480 = 0
-468 + 8x + x2 = 0

Factor a trinomial.
(-26 + -1x)(18 + -1x) = 0

Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26
Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-26, 18}