3d^3+d=0

Solution for 3d^3+d=0 equation:

Simplifying
3d3 + d = 0

Reorder the terms:
d + 3d3 = 0

Solving
d + 3d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd'.
d(1 + 3d2) = 0

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 '(1 + 3d2)' equal to zero and attempt to solve:

Simplifying
1 + 3d2 = 0

Solving
1 + 3d2 = 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 + 3d2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3d2 = 0 + -1
3d2 = 0 + -1

Combine like terms: 0 + -1 = -1
3d2 = -1

Divide each side by '3'.
d2 = -0.3333333333

Simplifying
d2 = -0.3333333333

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}