36d^2+42d+12=0

Solution for 36d^2+42d+12=0 equation:

Simplifying
36d2 + 42d + 12 = 0

Reorder the terms:
12 + 42d + 36d2 = 0

Solving
12 + 42d + 36d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + 7d + 6d2) = 0

Factor a trinomial.
6((2 + 3d)(1 + 2d)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(2 + 3d)' equal to zero and attempt to solve:

Simplifying
2 + 3d = 0

Solving
2 + 3d = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3d = 0 + -2
3d = 0 + -2

Combine like terms: 0 + -2 = -2
3d = -2

Divide each side by '3'.
d = -0.6666666667

Simplifying
d = -0.6666666667
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 = {-0.6666666667, -0.5}