d^3-24d=-2d^2

Solution for d^3-24d=-2d^2 equation:

Simplifying
d3 + -24d = -2d2

Reorder the terms:
-24d + d3 = -2d2

Solving
-24d + d3 = -2d2

Solving for variable 'd'.

Reorder the terms:
-24d + 2d2 + d3 = -2d2 + 2d2

Combine like terms: -2d2 + 2d2 = 0
-24d + 2d2 + d3 = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(-24 + 2d + d2) = 0

Factor a trinomial.
d((-6 + -1d)(4 + -1d)) = 0

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 '(-6 + -1d)' equal to zero and attempt to solve:

Simplifying
-6 + -1d = 0

Solving
-6 + -1d = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1d = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1d = 0 + 6
-1d = 0 + 6

Combine like terms: 0 + 6 = 6
-1d = 6

Divide each side by '-1'.
d = -6

Simplifying
d = -6
Subproblem 3
Set the factor '(4 + -1d)' equal to zero and attempt to solve:

Simplifying
4 + -1d = 0

Solving
4 + -1d = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1d = 0 + -4

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

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

Divide each side by '-1'.
d = 4

Simplifying
d = 4
Solution
d = {0, -6, 4}