x^2-18x+6=-6x-5

Solution for x^2-18x+6=-6x-5 equation:

Simplifying
x2 + -18x + 6 = -6x + -5

Reorder the terms:
6 + -18x + x2 = -6x + -5

Reorder the terms:
6 + -18x + x2 = -5 + -6x

Solving
6 + -18x + x2 = -5 + -6x

Solving for variable 'x'.

Reorder the terms:
6 + 5 + -18x + 6x + x2 = -5 + -6x + 5 + 6x

Combine like terms: 6 + 5 = 11
11 + -18x + 6x + x2 = -5 + -6x + 5 + 6x

Combine like terms: -18x + 6x = -12x
11 + -12x + x2 = -5 + -6x + 5 + 6x

Reorder the terms:
11 + -12x + x2 = -5 + 5 + -6x + 6x

Combine like terms: -5 + 5 = 0
11 + -12x + x2 = 0 + -6x + 6x
11 + -12x + x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
11 + -12x + 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}