12d^2-4d-1=0

Solution for 12d^2-4d-1=0 equation:

Simplifying
12d2 + -4d + -1 = 0

Reorder the terms:
-1 + -4d + 12d2 = 0

Solving
-1 + -4d + 12d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-1 + -6d)(1 + -2d) = 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 '(1 + -2d)' equal to zero and attempt to solve:

Simplifying
1 + -2d = 0

Solving
1 + -2d = 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 + -2d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2d = 0 + -1
-2d = 0 + -1

Combine like terms: 0 + -1 = -1
-2d = -1

Divide each side by '-2'.
d = 0.5

Simplifying
d = 0.5
Solution
d = {-0.1666666667, 0.5}