-3d^6-21d^5-36d^4=

Solution for -3d^6-21d^5-36d^4= equation:

Simplifying
-3d6 + -21d5 + -36d4 = 0

Reorder the terms:
-36d4 + -21d5 + -3d6 = 0

Solving
-36d4 + -21d5 + -3d6 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '-3d4'.
-3d4(12 + 7d + d2) = 0

Factor a trinomial.
-3d4((4 + d)(3 + d)) = 0

Ignore the factor -3.
Subproblem 1
Set the factor 'd4' equal to zero and attempt to solve:

Simplifying
d4 = 0

Solving
d4 = 0

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

Simplifying
d4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
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 '(3 + d)' equal to zero and attempt to solve:

Simplifying
3 + d = 0

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

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

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

Simplifying
d = -3
Solution
d = {-4, -3}