5d(-d^3+2d^2-3d)=

Solution for 5d(-d^3+2d^2-3d)= equation:

Simplifying
5d(-1d3 + 2d2 + -3d) = 0

Reorder the terms:
5d(-3d + 2d2 + -1d3) = 0
(-3d * 5d + 2d2 * 5d + -1d3 * 5d) = 0
(-15d2 + 10d3 + -5d4) = 0

Solving
-15d2 + 10d3 + -5d4 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '5d2'.
5d2(-3 + 2d + -1d2) = 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 '(-3 + 2d + -1d2)' equal to zero and attempt to solve:

Simplifying
-3 + 2d + -1d2 = 0

Solving
-3 + 2d + -1d2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
3 + -2d + d2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2d + -3 + d2 = 0 + -3

Reorder the terms:
3 + -3 + -2d + d2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2d + d2 = 0 + -3
-2d + d2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2d + d2 = -3

The d term is -2d.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2d + 1 + d2 = -3 + 1

Reorder the terms:
1 + -2d + d2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2d + d2 = -2

Factor a perfect square on the left side:
(d + -1)(d + -1) = -2

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}