(x+6)(x+16)=0

Solution for (x+6)(x+16)=0 equation:

Simplifying
(x + 6)(x + 16) = 0

Reorder the terms:
(6 + x)(x + 16) = 0

Reorder the terms:
(6 + x)(16 + x) = 0

Multiply (6 + x) * (16 + x)
(6(16 + x) + x(16 + x)) = 0
((16 * 6 + x * 6) + x(16 + x)) = 0
((96 + 6x) + x(16 + x)) = 0
(96 + 6x + (16 * x + x * x)) = 0
(96 + 6x + (16x + x2)) = 0

Combine like terms: 6x + 16x = 22x
(96 + 22x + x2) = 0

Solving
96 + 22x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
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 = {-16, -6}