3d(6d+d^2)=

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

Simplifying
3d(6d + d2) = 0
(6d * 3d + d2 * 3d) = 0
(18d2 + 3d3) = 0

Solving
18d2 + 3d3 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3d2'.
3d2(6 + 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 '(6 + d)' equal to zero and attempt to solve:

Simplifying
6 + d = 0

Solving
6 + d = 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 + d = 0 + -6

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

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

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