d^2(3d-6)=

Solution for d^2(3d-6)= equation:

Simplifying
d2(3d + -6) = 0

Reorder the terms:
d2(-6 + 3d) = 0
(-6 * d2 + 3d * d2) = 0
(-6d2 + 3d3) = 0

Solving
-6d2 + 3d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3d2'.
3d2(-2 + d) = 0

Ignore the factor 3.
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 '(-2 + d)' equal to zero and attempt to solve:

Simplifying
-2 + d = 0

Solving
-2 + d = 0

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

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

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

Combine like terms: 0 + 2 = 2
d = 2

Simplifying
d = 2
Solution
d = {0, 2}