x^2+16x=-28

Solution for x^2+16x=-28 equation:

Simplifying
x2 + 16x = -28

Reorder the terms:
16x + x2 = -28

Solving
16x + x2 = -28

Solving for variable 'x'.

Reorder the terms:
28 + 16x + x2 = -28 + 28

Combine like terms: -28 + 28 = 0
28 + 16x + x2 = 0

Factor a trinomial.
(14 + x)(2 + x) = 0

Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-14, -2}