5d^3-5d=0

Solution for 5d^3-5d=0 equation:

Simplifying
5d3 + -5d = 0

Reorder the terms:
-5d + 5d3 = 0

Solving
-5d + 5d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '5d'.
5d(-1 + d2) = 0

Factor a difference between two squares.
5d((1 + d)(-1 + d)) = 0

Ignore the factor 5.
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 + d)' equal to zero and attempt to solve:

Simplifying
1 + d = 0

Solving
1 + d = 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 + d = 0 + -1

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

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

Simplifying
d = -1
Subproblem 3
Set the factor '(-1 + d)' equal to zero and attempt to solve:

Simplifying
-1 + d = 0

Solving
-1 + d = 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 + d = 0 + 1

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

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

Simplifying
d = 1
Solution
d = {0, -1, 1}