20d^3+8d-24d^2=

Solution for 20d^3+8d-24d^2= equation:

Simplifying
20d3 + 8d + -24d2 = 0

Reorder the terms:
8d + -24d2 + 20d3 = 0

Solving
8d + -24d2 + 20d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '4d'.
4d(2 + -6d + 5d2) = 0

Ignore the factor 4.
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 '(2 + -6d + 5d2)' equal to zero and attempt to solve:

Simplifying
2 + -6d + 5d2 = 0

Solving
2 + -6d + 5d2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
0.4 + -1.2d + d2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -1.2d + -0.4 + d2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -1.2d + d2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -1.2d + d2 = 0 + -0.4
-1.2d + d2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-1.2d + d2 = -0.4

The d term is -1.2d.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2d + 0.36 + d2 = -0.4 + 0.36

Reorder the terms:
0.36 + -1.2d + d2 = -0.4 + 0.36

Combine like terms: -0.4 + 0.36 = -0.04
0.36 + -1.2d + d2 = -0.04

Factor a perfect square on the left side:
(d + -0.6)(d + -0.6) = -0.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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