l(d)=d^2-6d

Solution for l(d)=d^2-6d equation:

Simplifying
l(d) = d2 + -6d

Multiply l * d
dl = d2 + -6d

Reorder the terms:
dl = -6d + d2

Solving
dl = -6d + d2

Solving for variable 'd'.

Reorder the terms:
6d + dl + -1d2 = -6d + d2 + 6d + -1d2

Reorder the terms:
6d + dl + -1d2 = -6d + 6d + d2 + -1d2

Combine like terms: -6d + 6d = 0
6d + dl + -1d2 = 0 + d2 + -1d2
6d + dl + -1d2 = d2 + -1d2

Combine like terms: d2 + -1d2 = 0
6d + dl + -1d2 = 0

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

Simplifying
6 + l + -1d = 0

Reorder the terms:
6 + -1d + l = 0

Solving
6 + -1d + l = 0

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

Add '-6' to each side of the equation.
6 + -1d + -6 + l = 0 + -6

Reorder the terms:
6 + -6 + -1d + l = 0 + -6

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

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

Add '-1l' to each side of the equation.
-1d + l + -1l = -6 + -1l

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

Divide each side by '-1'.
d = 6 + l

Simplifying
d = 6 + l
Solution
d = {0, 6 + l}