d(6d+1)=0

Solution for d(6d+1)=0 equation:

Simplifying
d(6d + 1) = 0

Reorder the terms:
d(1 + 6d) = 0
(1 * d + 6d * d) = 0
(1d + 6d2) = 0

Solving
1d + 6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd'.
d(1 + 6d) = 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 '(1 + 6d)' equal to zero and attempt to solve:

Simplifying
1 + 6d = 0

Solving
1 + 6d = 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 + 6d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6d = 0 + -1
6d = 0 + -1

Combine like terms: 0 + -1 = -1
6d = -1

Divide each side by '6'.
d = -0.1666666667

Simplifying
d = -0.1666666667
Solution
d = {0, -0.1666666667}