(x+8)(x+3)=104

Solution for (x+8)(x+3)=104 equation:

Simplifying
(x + 8)(x + 3) = 104

Reorder the terms:
(8 + x)(x + 3) = 104

Reorder the terms:
(8 + x)(3 + x) = 104

Multiply (8 + x) * (3 + x)
(8(3 + x) + x(3 + x)) = 104
((3 * 8 + x * 8) + x(3 + x)) = 104
((24 + 8x) + x(3 + x)) = 104
(24 + 8x + (3 * x + x * x)) = 104
(24 + 8x + (3x + x2)) = 104

Combine like terms: 8x + 3x = 11x
(24 + 11x + x2) = 104

Solving
24 + 11x + x2 = 104

Solving for variable 'x'.

Reorder the terms:
24 + -104 + 11x + x2 = 104 + -104

Combine like terms: 24 + -104 = -80
-80 + 11x + x2 = 104 + -104

Combine like terms: 104 + -104 = 0
-80 + 11x + x2 = 0

Factor a trinomial.
(-16 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-16, 5}