d^2+6d=0

Solution for d^2+6d=0 equation:

Simplifying
d2 + 6d = 0

Reorder the terms:
6d + d2 = 0

Solving
6d + d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd'.
d(6 + 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 '(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}