(x+6)(x+13)=0

Solution for (x+6)(x+13)=0 equation:

Simplifying
(x + 6)(x + 13) = 0

Reorder the terms:
(6 + x)(x + 13) = 0

Reorder the terms:
(6 + x)(13 + x) = 0

Multiply (6 + x) * (13 + x)
(6(13 + x) + x(13 + x)) = 0
((13 * 6 + x * 6) + x(13 + x)) = 0
((78 + 6x) + x(13 + x)) = 0
(78 + 6x + (13 * x + x * x)) = 0
(78 + 6x + (13x + x2)) = 0

Combine like terms: 6x + 13x = 19x
(78 + 19x + x2) = 0

Solving
78 + 19x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
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 = {-13, -6}