40d^2+31d+6=0

Solution for 40d^2+31d+6=0 equation:

Simplifying
40d2 + 31d + 6 = 0

Reorder the terms:
6 + 31d + 40d2 = 0

Solving
6 + 31d + 40d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2 + 5d)(3 + 8d) = 0

Subproblem 1
Set the factor '(2 + 5d)' equal to zero and attempt to solve:

Simplifying
2 + 5d = 0

Solving
2 + 5d = 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 + 5d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5d = 0 + -2
5d = 0 + -2

Combine like terms: 0 + -2 = -2
5d = -2

Divide each side by '5'.
d = -0.4

Simplifying
d = -0.4
Subproblem 2
Set the factor '(3 + 8d)' equal to zero and attempt to solve:

Simplifying
3 + 8d = 0

Solving
3 + 8d = 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 + 8d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8d = 0 + -3
8d = 0 + -3

Combine like terms: 0 + -3 = -3
8d = -3

Divide each side by '8'.
d = -0.375

Simplifying
d = -0.375
Solution
d = {-0.4, -0.375}