3d^2-16d+13=0

Solution for 3d^2-16d+13=0 equation:

Simplifying
3d2 + -16d + 13 = 0

Reorder the terms:
13 + -16d + 3d2 = 0

Solving
13 + -16d + 3d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(1 + -1d)(13 + -3d) = 0

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

Simplifying
1 + -1d = 0

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

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

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

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

Simplifying
d = 1
Subproblem 2
Set the factor '(13 + -3d)' equal to zero and attempt to solve:

Simplifying
13 + -3d = 0

Solving
13 + -3d = 0

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

Add '-13' to each side of the equation.
13 + -13 + -3d = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3d = 0 + -13
-3d = 0 + -13

Combine like terms: 0 + -13 = -13
-3d = -13

Divide each side by '-3'.
d = 4.333333333

Simplifying
d = 4.333333333
Solution
d = {1, 4.333333333}