d^2+10d=-16

Solution for d^2+10d=-16 equation:

Simplifying
d2 + 10d = -16

Reorder the terms:
10d + d2 = -16

Solving
10d + d2 = -16

Solving for variable 'd'.

Reorder the terms:
16 + 10d + d2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 10d + d2 = 0

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

Subproblem 1
Set the factor '(8 + d)' equal to zero and attempt to solve:

Simplifying
8 + d = 0

Solving
8 + d = 0

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

Add '-8' to each side of the equation.
8 + -8 + d = 0 + -8

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

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

Simplifying
d = -8
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 = {-8, -2}