(d-12)(6d+1)=0

Solution for (d-12)(6d+1)=0 equation:

Simplifying
(d + -12)(6d + 1) = 0

Reorder the terms:
(-12 + d)(6d + 1) = 0

Reorder the terms:
(-12 + d)(1 + 6d) = 0

Multiply (-12 + d) * (1 + 6d)
(-12(1 + 6d) + d(1 + 6d)) = 0
((1 * -12 + 6d * -12) + d(1 + 6d)) = 0
((-12 + -72d) + d(1 + 6d)) = 0
(-12 + -72d + (1 * d + 6d * d)) = 0
(-12 + -72d + (1d + 6d2)) = 0

Combine like terms: -72d + 1d = -71d
(-12 + -71d + 6d2) = 0

Solving
-12 + -71d + 6d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-1 + -6d)(12 + -1d) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(12 + -1d)' equal to zero and attempt to solve:

Simplifying
12 + -1d = 0

Solving
12 + -1d = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1d = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1d = 0 + -12
-1d = 0 + -12

Combine like terms: 0 + -12 = -12
-1d = -12

Divide each side by '-1'.
d = 12

Simplifying
d = 12
Solution
d = {-0.1666666667, 12}