(x+3)(x+16)=0

Solution for (x+3)(x+16)=0 equation:

Simplifying
(x + 3)(x + 16) = 0

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

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

Multiply (3 + x) * (16 + x)
(3(16 + x) + x(16 + x)) = 0
((16 * 3 + x * 3) + x(16 + x)) = 0
((48 + 3x) + x(16 + x)) = 0
(48 + 3x + (16 * x + x * x)) = 0
(48 + 3x + (16x + x2)) = 0

Combine like terms: 3x + 16x = 19x
(48 + 19x + x2) = 0

Solving
48 + 19x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(16 + x)(3 + 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 '(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 = {-16, -3}