x(x+16)=-39

Solution for x(x+16)=-39 equation:

Simplifying
x(x + 16) = -39

Reorder the terms:
x(16 + x) = -39
(16 * x + x * x) = -39
(16x + x2) = -39

Solving
16x + x2 = -39

Solving for variable 'x'.

Reorder the terms:
39 + 16x + x2 = -39 + 39

Combine like terms: -39 + 39 = 0
39 + 16x + x2 = 0

Factor a trinomial.
(13 + x)(3 + 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 '(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 = {-13, -3}