12d^2+40d+12=0

Solution for 12d^2+40d+12=0 equation:

Simplifying
12d2 + 40d + 12 = 0

Reorder the terms:
12 + 40d + 12d2 = 0

Solving
12 + 40d + 12d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 10d + 3d2) = 0

Factor a trinomial.
4((3 + d)(1 + 3d)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(3 + d)' equal to zero and attempt to solve:

Simplifying
3 + d = 0

Solving
3 + d = 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 + d = 0 + -3

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

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

Simplifying
d = -3
Subproblem 2
Set the factor '(1 + 3d)' equal to zero and attempt to solve:

Simplifying
1 + 3d = 0

Solving
1 + 3d = 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 + 3d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3d = 0 + -1
3d = 0 + -1

Combine like terms: 0 + -1 = -1
3d = -1

Divide each side by '3'.
d = -0.3333333333

Simplifying
d = -0.3333333333
Solution
d = {-3, -0.3333333333}