x(x+6)=-8

Solution for x(x+6)=-8 equation:

Simplifying
x(x + 6) = -8

Reorder the terms:
x(6 + x) = -8
(6 * x + x * x) = -8
(6x + x2) = -8

Solving
6x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 6x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 6x + x2 = 0

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

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
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 = {-4, -2}