104=(x+5)(x)

Solution for 104=(x+5)(x) equation:

Simplifying
104 = (x + 5)(x)

Reorder the terms:
104 = (5 + x)(x)

Reorder the terms for easier multiplication:
104 = x(5 + x)
104 = (5 * x + x * x)
104 = (5x + x2)

Solving
104 = 5x + x2

Solving for variable 'x'.

Reorder the terms:
104 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
104 + -5x + -1x2 = 0 + x2 + -1x2
104 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
104 + -5x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(13 + x) = 0

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Solution
x = {8, -13}