16d^2=-64d

Solution for 16d^2=-64d equation:

Simplifying
16d2 = -64d

Solving
16d2 = -64d

Solving for variable 'd'.

Reorder the terms:
64d + 16d2 = -64d + 64d

Combine like terms: -64d + 64d = 0
64d + 16d2 = 0

Factor out the Greatest Common Factor (GCF), '16d'.
16d(4 + d) = 0

Ignore the factor 16.
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}