d(4d-12)(-9d-3)2=0

Solution for d(4d-12)(-9d-3)2=0 equation:

Simplifying
d(4d + -12)(-9d + -3) * 2 = 0

Reorder the terms:
d(-12 + 4d)(-9d + -3) * 2 = 0

Reorder the terms:
d(-12 + 4d)(-3 + -9d) * 2 = 0

Reorder the terms for easier multiplication:
2d(-12 + 4d)(-3 + -9d) = 0

Multiply (-12 + 4d) * (-3 + -9d)
2d(-12(-3 + -9d) + 4d * (-3 + -9d)) = 0
2d((-3 * -12 + -9d * -12) + 4d * (-3 + -9d)) = 0
2d((36 + 108d) + 4d * (-3 + -9d)) = 0
2d(36 + 108d + (-3 * 4d + -9d * 4d)) = 0
2d(36 + 108d + (-12d + -36d2)) = 0

Combine like terms: 108d + -12d = 96d
2d(36 + 96d + -36d2) = 0
(36 * 2d + 96d * 2d + -36d2 * 2d) = 0
(72d + 192d2 + -72d3) = 0

Solving
72d + 192d2 + -72d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '24d'.
24d(3 + 8d + -3d2) = 0

Factor a trinomial.
24d((3 + -1d)(1 + 3d)) = 0

Ignore the factor 24.
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 '(3 + -1d)' equal to zero and attempt to solve:

Simplifying
3 + -1d = 0

Solving
3 + -1d = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1d = 0 + -3
-1d = 0 + -3

Combine like terms: 0 + -3 = -3
-1d = -3

Divide each side by '-1'.
d = 3

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

Simplifying
1 + 3d = 0

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

Combine like terms: 1 + -1 = 0
0 + 3d = 0 + -1
3d = 0 + -1

Combine like terms: 0 + -1 = -1
3d = -1

Divide each side by '3'.
d = -0.3333333333

Simplifying
d = -0.3333333333
Solution
d = {0, 3, -0.3333333333}