12d^2+26d+12=0

Solution for 12d^2+26d+12=0 equation:

Simplifying
12d2 + 26d + 12 = 0

Reorder the terms:
12 + 26d + 12d2 = 0

Solving
12 + 26d + 12d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 13d + 6d2) = 0

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

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

Simplifying
3 + 2d = 0

Solving
3 + 2d = 0

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

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

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

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

Divide each side by '2'.
d = -1.5

Simplifying
d = -1.5
Subproblem 2
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
Solution
d = {-1.5, -0.6666666667}