d(d^2+2d)+d(3d+4)=

Solution for d(d^2+2d)+d(3d+4)= equation:

Simplifying
d(d2 + 2d) + d(3d + 4) = 0

Reorder the terms:
d(2d + d2) + d(3d + 4) = 0
(2d * d + d2 * d) + d(3d + 4) = 0
(2d2 + d3) + d(3d + 4) = 0

Reorder the terms:
2d2 + d3 + d(4 + 3d) = 0
2d2 + d3 + (4 * d + 3d * d) = 0
2d2 + d3 + (4d + 3d2) = 0

Reorder the terms:
4d + 2d2 + 3d2 + d3 = 0

Combine like terms: 2d2 + 3d2 = 5d2
4d + 5d2 + d3 = 0

Solving
4d + 5d2 + d3 = 0

Solving for variable 'd'.

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

Factor a trinomial.
d((4 + d)(1 + d)) = 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 '(4 + d)' equal to zero and attempt to solve:

Simplifying
4 + d = 0

Solving
4 + d = 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 + d = 0 + -4

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

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

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

Simplifying
1 + d = 0

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

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

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

Simplifying
d = -1
Solution
d = {0, -4, -1}