(x+5)(x+6)=0

Solution for (x+5)(x+6)=0 equation:

Simplifying
(x + 5)(x + 6) = 0

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

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

Multiply (5 + x) * (6 + x)
(5(6 + x) + x(6 + x)) = 0
((6 * 5 + x * 5) + x(6 + x)) = 0
((30 + 5x) + x(6 + x)) = 0
(30 + 5x + (6 * x + x * x)) = 0
(30 + 5x + (6x + x2)) = 0

Combine like terms: 5x + 6x = 11x
(30 + 11x + x2) = 0

Solving
30 + 11x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + x)(5 + x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-6, -5}