x(x-5)=104

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

Simplifying
x(x + -5) = 104

Reorder the terms:
x(-5 + x) = 104
(-5 * x + x * x) = 104
(-5x + x2) = 104

Solving
-5x + x2 = 104

Solving for variable 'x'.

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

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

Factor a trinomial.
(-8 + -1x)(13 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 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 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

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