x^2+6x+16=-x+6

Solution for x^2+6x+16=-x+6 equation:

Simplifying
x2 + 6x + 16 = -1x + 6

Reorder the terms:
16 + 6x + x2 = -1x + 6

Reorder the terms:
16 + 6x + x2 = 6 + -1x

Solving
16 + 6x + x2 = 6 + -1x

Solving for variable 'x'.

Reorder the terms:
16 + -6 + 6x + x + x2 = 6 + -1x + -6 + x

Combine like terms: 16 + -6 = 10
10 + 6x + x + x2 = 6 + -1x + -6 + x

Combine like terms: 6x + x = 7x
10 + 7x + x2 = 6 + -1x + -6 + x

Reorder the terms:
10 + 7x + x2 = 6 + -6 + -1x + x

Combine like terms: 6 + -6 = 0
10 + 7x + x2 = 0 + -1x + x
10 + 7x + x2 = -1x + x

Combine like terms: -1x + x = 0
10 + 7x + x2 = 0

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

Subproblem 1
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
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 = {-5, -2}