(x+3)(x+11)=0

Solution for (x+3)(x+11)=0 equation:

Simplifying
(x + 3)(x + 11) = 0

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

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

Multiply (3 + x) * (11 + x)
(3(11 + x) + x(11 + x)) = 0
((11 * 3 + x * 3) + x(11 + x)) = 0
((33 + 3x) + x(11 + x)) = 0
(33 + 3x + (11 * x + x * x)) = 0
(33 + 3x + (11x + x2)) = 0

Combine like terms: 3x + 11x = 14x
(33 + 14x + x2) = 0

Solving
33 + 14x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + x)(3 + 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-11, -3}