x^2+11x-12=8x-2

Solution for x^2+11x-12=8x-2 equation:

Simplifying
x2 + 11x + -12 = 8x + -2

Reorder the terms:
-12 + 11x + x2 = 8x + -2

Reorder the terms:
-12 + 11x + x2 = -2 + 8x

Solving
-12 + 11x + x2 = -2 + 8x

Solving for variable 'x'.

Reorder the terms:
-12 + 2 + 11x + -8x + x2 = -2 + 8x + 2 + -8x

Combine like terms: -12 + 2 = -10
-10 + 11x + -8x + x2 = -2 + 8x + 2 + -8x

Combine like terms: 11x + -8x = 3x
-10 + 3x + x2 = -2 + 8x + 2 + -8x

Reorder the terms:
-10 + 3x + x2 = -2 + 2 + 8x + -8x

Combine like terms: -2 + 2 = 0
-10 + 3x + x2 = 0 + 8x + -8x
-10 + 3x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + 3x + x2 = 0

Factor a trinomial.
(-5 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-5, 2}