d^2+6d=-8

Solution for d^2+6d=-8 equation:

Simplifying
d2 + 6d = -8

Reorder the terms:
6d + d2 = -8

Solving
6d + d2 = -8

Solving for variable 'd'.

Reorder the terms:
8 + 6d + d2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 6d + d2 = 0

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

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

Simplifying
4 + d = 0

Solving
4 + d = 0

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

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

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

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

Simplifying
d = -4
Subproblem 2
Set the factor '(2 + d)' equal to zero and attempt to solve:

Simplifying
2 + d = 0

Solving
2 + d = 0

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

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

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

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

Simplifying
d = -2
Solution
d = {-4, -2}