(x+5)(x+16)=

Solution for (x+5)(x+16)= equation:

Simplifying
(x + 5)(x + 16) = 0

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

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

Multiply (5 + x) * (16 + x)
(5(16 + x) + x(16 + x)) = 0
((16 * 5 + x * 5) + x(16 + x)) = 0
((80 + 5x) + x(16 + x)) = 0
(80 + 5x + (16 * x + x * x)) = 0
(80 + 5x + (16x + x2)) = 0

Combine like terms: 5x + 16x = 21x
(80 + 21x + x2) = 0

Solving
80 + 21x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(16 + x)(5 + 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 '(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 = {-16, -5}