(x+6)(x+11)=0

Solution for (x+6)(x+11)=0 equation:

Simplifying
(x + 6)(x + 11) = 0

Reorder the terms:
(6 + x)(x + 11) = 0

Reorder the terms:
(6 + x)(11 + x) = 0

Multiply (6 + x) * (11 + x)
(6(11 + x) + x(11 + x)) = 0
((11 * 6 + x * 6) + x(11 + x)) = 0
((66 + 6x) + x(11 + x)) = 0
(66 + 6x + (11 * x + x * x)) = 0
(66 + 6x + (11x + x2)) = 0

Combine like terms: 6x + 11x = 17x
(66 + 17x + x2) = 0

Solving
66 + 17x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + x)(6 + 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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-11, -6}