3d(2d+8)=

Solution for 3d(2d+8)= equation:

Simplifying
3d(2d + 8) = 0

Reorder the terms:
3d(8 + 2d) = 0
(8 * 3d + 2d * 3d) = 0
(24d + 6d2) = 0

Solving
24d + 6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '6d'.
6d(4 + d) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0
Subproblem 2
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
Solution
d = {0, -4}