12d^2-31d+14=0

Solution for 12d^2-31d+14=0 equation:

Simplifying
12d2 + -31d + 14 = 0

Reorder the terms:
14 + -31d + 12d2 = 0

Solving
14 + -31d + 12d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(7 + -12d)(2 + -1d) = 0

Subproblem 1
Set the factor '(7 + -12d)' equal to zero and attempt to solve:

Simplifying
7 + -12d = 0

Solving
7 + -12d = 0

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

Add '-7' to each side of the equation.
7 + -7 + -12d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -12d = 0 + -7
-12d = 0 + -7

Combine like terms: 0 + -7 = -7
-12d = -7

Divide each side by '-12'.
d = 0.5833333333

Simplifying
d = 0.5833333333
Subproblem 2
Set the factor '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

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

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

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

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Solution
d = {0.5833333333, 2}