x^2-2x-104=-5

Solution for x^2-2x-104=-5 equation:

Simplifying
x2 + -2x + -104 = -5

Reorder the terms:
-104 + -2x + x2 = -5

Solving
-104 + -2x + x2 = -5

Solving for variable 'x'.

Reorder the terms:
-104 + 5 + -2x + x2 = -5 + 5

Combine like terms: -104 + 5 = -99
-99 + -2x + x2 = -5 + 5

Combine like terms: -5 + 5 = 0
-99 + -2x + x2 = 0

Factor a trinomial.
(-9 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-9, 11}