28d^3+7d^2=0

Solution for 28d^3+7d^2=0 equation:

Simplifying
28d3 + 7d2 = 0

Reorder the terms:
7d2 + 28d3 = 0

Solving
7d2 + 28d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '7d2'.
7d2(1 + 4d) = 0

Ignore the factor 7.
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 + 4d)' equal to zero and attempt to solve:

Simplifying
1 + 4d = 0

Solving
1 + 4d = 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 + 4d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4d = 0 + -1
4d = 0 + -1

Combine like terms: 0 + -1 = -1
4d = -1

Divide each side by '4'.
d = -0.25

Simplifying
d = -0.25
Solution
d = {0, -0.25}