d^2-14d+13=0

Solution for d^2-14d+13=0 equation:

Simplifying
d2 + -14d + 13 = 0

Reorder the terms:
13 + -14d + d2 = 0

Solving
13 + -14d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(1 + -1d)(13 + -1d) = 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 + -1d)' equal to zero and attempt to solve:

Simplifying
13 + -1d = 0

Solving
13 + -1d = 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 + -1d = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1d = 0 + -13
-1d = 0 + -13

Combine like terms: 0 + -13 = -13
-1d = -13

Divide each side by '-1'.
d = 13

Simplifying
d = 13
Solution
d = {1, 13}