x^2-8x-12=2x-1

Solution for x^2-8x-12=2x-1 equation:

Simplifying
x2 + -8x + -12 = 2x + -1

Reorder the terms:
-12 + -8x + x2 = 2x + -1

Reorder the terms:
-12 + -8x + x2 = -1 + 2x

Solving
-12 + -8x + x2 = -1 + 2x

Solving for variable 'x'.

Reorder the terms:
-12 + 1 + -8x + -2x + x2 = -1 + 2x + 1 + -2x

Combine like terms: -12 + 1 = -11
-11 + -8x + -2x + x2 = -1 + 2x + 1 + -2x

Combine like terms: -8x + -2x = -10x
-11 + -10x + x2 = -1 + 2x + 1 + -2x

Reorder the terms:
-11 + -10x + x2 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
-11 + -10x + x2 = 0 + 2x + -2x
-11 + -10x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + -10x + x2 = 0

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

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
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 = {-1, 11}