10d^3-5d^2=0

Solution for 10d^3-5d^2=0 equation:

Simplifying
10d3 + -5d2 = 0

Reorder the terms:
-5d2 + 10d3 = 0

Solving
-5d2 + 10d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '5d2'.
5d2(-1 + 2d) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'd2' equal to zero and attempt to solve:

Simplifying
d2 = 0

Solving
d2 = 0

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

Simplifying
d2 = 0

Take the square root of each side:
d = {0}
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 = {0, 0.5}