x^2+20x+105=6

Solution for x^2+20x+105=6 equation:

Simplifying
x2 + 20x + 105 = 6

Reorder the terms:
105 + 20x + x2 = 6

Solving
105 + 20x + x2 = 6

Solving for variable 'x'.

Reorder the terms:
105 + -6 + 20x + x2 = 6 + -6

Combine like terms: 105 + -6 = 99
99 + 20x + x2 = 6 + -6

Combine like terms: 6 + -6 = 0
99 + 20x + x2 = 0

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

Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 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 + x = 0 + -11

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

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

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

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

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