(x+2)(x+11)=0

Solution for (x+2)(x+11)=0 equation:

Simplifying
(x + 2)(x + 11) = 0

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

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

Multiply (2 + x) * (11 + x)
(2(11 + x) + x(11 + x)) = 0
((11 * 2 + x * 2) + x(11 + x)) = 0
((22 + 2x) + x(11 + x)) = 0
(22 + 2x + (11 * x + x * x)) = 0
(22 + 2x + (11x + x2)) = 0

Combine like terms: 2x + 11x = 13x
(22 + 13x + x2) = 0

Solving
22 + 13x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + x)(2 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-11, -2}