x^2-x-2=130

Solution for x^2-x-2=130 equation:

Simplifying
x2 + -1x + -2 = 130

Reorder the terms:
-2 + -1x + x2 = 130

Solving
-2 + -1x + x2 = 130

Solving for variable 'x'.

Reorder the terms:
-2 + -130 + -1x + x2 = 130 + -130

Combine like terms: -2 + -130 = -132
-132 + -1x + x2 = 130 + -130

Combine like terms: 130 + -130 = 0
-132 + -1x + x2 = 0

Factor a trinomial.
(-11 + -1x)(12 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-11, 12}