8d(2d+5)=-16

Solution for 8d(2d+5)=-16 equation:

Simplifying
8d(2d + 5) = -16

Reorder the terms:
8d(5 + 2d) = -16
(5 * 8d + 2d * 8d) = -16
(40d + 16d2) = -16

Solving
40d + 16d2 = -16

Solving for variable 'd'.

Reorder the terms:
16 + 40d + 16d2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 40d + 16d2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(2 + 5d + 2d2) = 0

Factor a trinomial.
8((2 + d)(1 + 2d)) = 0

Ignore the factor 8.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + 2d)' equal to zero and attempt to solve:

Simplifying
1 + 2d = 0

Solving
1 + 2d = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2d = 0 + -1
2d = 0 + -1

Combine like terms: 0 + -1 = -1
2d = -1

Divide each side by '2'.
d = -0.5

Simplifying
d = -0.5
Solution
d = {-2, -0.5}